Lectures on quantum field theory /:
This book consists of the lectures for a two-semester course on quantum field theory, and as such is presented in a quite informal and personal manner. The course starts with relativistic one-particle systems, and develops the basics of quantum field theory with an analysis of the representations of...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Körperschaft: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore ; Hackensack, N.J. :
World Scientific Pub. Co.,
©2008.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This book consists of the lectures for a two-semester course on quantum field theory, and as such is presented in a quite informal and personal manner. The course starts with relativistic one-particle systems, and develops the basics of quantum field theory with an analysis of the representations of the Poincaré group. Canonical quantization is carried out for scalar, fermion, Abelian and non-Abelian gauge theories. Covariant quantization of gauge theories is also carried out with a detailed description of the BRST symmetry. The Higgs phenomenon and the standard model of electroweak interactions are also developed systematically. Regularization and (BPHZ) renormalization of field theories as well as gauge theories are discussed in detail, leading to a derivation of the renormalization group equation. In addition, two chapters - one on the Dirac quantization of constrained systems and another on discrete symmetries - are included for completeness, although these are not covered in the two-semester course. |
| Beschreibung: | 1 online resource (xiii, 775 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9789812832870 9812832874 |
Internformat
MARC
| LEADER | 00000cam a2200000Ma 4500 | ||
|---|---|---|---|
| 001 | ZDB-4-EBA-ocn747539687 | ||
| 003 | OCoLC | ||
| 005 | 20241004212047.0 | ||
| 006 | m o d | ||
| 007 | cr buu|||uu||| | ||
| 008 | 090522s2008 si a ob 001 0 eng d | ||
| 010 | |a 2009275572 | ||
| 040 | |a World Scientific Publishing |b eng |e pn |c STF |d N$T |d E7B |d IDEBK |d DEBSZ |d YDXCP |d OCLCQ |d OCLCF |d OCLCQ |d LOA |d AGLDB |d MOR |d CCO |d PIFAG |d ZCU |d OCLCQ |d MERUC |d OCLCQ |d U3W |d WRM |d VTS |d NRAMU |d ICG |d INT |d VT2 |d OCLCQ |d WYU |d OCLCQ |d STF |d DKC |d AU@ |d OCLCQ |d M8D |d UKAHL |d OCL |d OCLCQ |d LEAUB |d UKCRE |d OCLCO |d OCLCQ |d OCLCO |d OCLCL |d OCLCQ | ||
| 019 | |a 960207128 |a 961653354 |a 962647392 |a 966487286 |a 988529815 |a 991999162 |a 1037794005 |a 1038668090 |a 1045486873 |a 1055390479 |a 1066444086 |a 1081288974 |a 1086439992 |a 1175698045 |a 1176486069 |a 1228527665 | ||
| 020 | |a 9789812832870 |q (electronic bk.) | ||
| 020 | |a 9812832874 |q (electronic bk.) | ||
| 020 | |z 9789812832863 |q (pbk.) | ||
| 020 | |z 9812832866 |q (pbk.) | ||
| 020 | |z 9789812832856 | ||
| 020 | |z 9812832858 | ||
| 035 | |a (OCoLC)747539687 |z (OCoLC)960207128 |z (OCoLC)961653354 |z (OCoLC)962647392 |z (OCoLC)966487286 |z (OCoLC)988529815 |z (OCoLC)991999162 |z (OCoLC)1037794005 |z (OCoLC)1038668090 |z (OCoLC)1045486873 |z (OCoLC)1055390479 |z (OCoLC)1066444086 |z (OCoLC)1081288974 |z (OCoLC)1086439992 |z (OCoLC)1175698045 |z (OCoLC)1176486069 |z (OCoLC)1228527665 | ||
| 050 | 4 | |a QC174.45 | |
| 072 | 7 | |a SCI |x 067000 |2 bisacsh | |
| 082 | 7 | |a 530.14/3 |2 22 | |
| 049 | |a MAIN | ||
| 100 | 1 | |a Das, Ashok, |d 1953- |1 https://id.oclc.org/worldcat/entity/E39PBJcWr4TdM8xPxThQ3YvJXd |0 http://id.loc.gov/authorities/names/n85218480 | |
| 245 | 1 | 0 | |a Lectures on quantum field theory / |c Ashok Das. |
| 246 | 3 | 0 | |a Quantum field theory |
| 260 | |a Singapore ; |a Hackensack, N.J. : |b World Scientific Pub. Co., |c ©2008. | ||
| 300 | |a 1 online resource (xiii, 775 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a 1. Relativistic equations. 1.1. Introducion. 1.2. Notations. 1.3. Klein-Gordon equation. 1.4. Dirac equation. 1.5. References -- 2. Solutions of the Dirac equation. 2.1. Plane wave equation. 2.2. Normalization of the wave function. 2.3. Spin of the Dirac particle. 2.4. Continuity equation. 2.5. Dirac's hole theory. 2.6. Properties of the Dirac matrices. 2.7. References -- 3. Properties of the Dirac equation. 3.1. Lorentz transformations. 3.2. Covariance of the Dirac equation. 3.3. Transformation of bilinears. 3.4. Projection operators, completeness relation. 3.5. Helicity. 3.6. Massless Dirac particle. 3.7. Chirality. 3.8. Non-relativistic limit of the Dirac equation. 3.9. Electron in an external magnetic field. 3.10. Foldy-Wouthuysen transformation. 3.11. Zitterbewegung. 3.12. References -- 4. Representations of Lorentz and Poincaré groups. 4.1. Symmetry algebras. 4.2. Representations of the Lorentz group. 4.3. Unitary representations of the Poincaré group. 4.4. References -- 5. Free Klein-Gordon field theory. 5.1. Introduction. 5.2. Lagrangian density. 5.3. Quantization. 5.4. Field decomposition. 5.5. Creation and annihilation operators. 5.6. Energy eigenstates. 5.7. Physical meaning of energy eigenstates. 5.8. Green's functions. 5.9. Covariant commutation relations. 5.10. References -- 6. Self-interacting scalar field theory. 6.1. Nöther's theorem. 6.2. Self-interacting [symbol] theory. 6.3. Interaction picture and time evolution operator. 6.4. S-matrix. 6.5. Normal ordered product and Wick's theorem. 6.6. Time ordered products and Wick's theorem. 6.7. Spectral representation and dispersion relation. 6.8. References -- 7. Complex scalar field theory. 7.1. Quantization. 7.2. Field decomposition. 7.3. Charge operator. 7.4. Green's functions. 7.5. Spontaneous symmetry breaking and the Goldstone theorem. 7.6. Electromagnetic coupling. 7.7. References -- 8. Dirac field theory. 8.1. Pauli exclusion principle. 8.2. Quantization of the Dirac field. 8.3. Field decomposition. 8.4. Charge operator. 8.5. Green's functions. 8.6. Covariant anti-commutation relations. 8.7. Normal ordered and time ordered products. 8.8. Massless Dirac fields. 8.9. Yukawa interaction. 8.10. Feynman diagrams. 8.11. References -- 9. Maxwell field theory. 9.1. Maxwell's equations. 9.2. Canonical quantization. 9.3. Field decomposition. 9.4. Photon propagator. 9.5. Quantum electrodynamics. 9.6. Physical processes. 9.7. Ward-Takahashi identity in QED. 9.8. Covariant quantization of the Maxwell theory. 9.9. References -- 10. Dirac method for constrained systems. 10.1. Constrained systems. 10.2. Dirac method and Dirac bracket. 10.3. Particle moving on a sphere. 10.4. Relativistic particle. 10.5. Dirac field theory. 10.6. Maxwell field theory. 10.7. References -- 11. Discrete symmetries. 11.1. Parity. 11.2. Charge conjugation. 11.3. Time reversal. 11.4. CPT theorem. 11.5. References -- 12. Yang-Mills theory. 12.1. Non-Abelian gauge theories. 12.2. Canonical quantization of Yang-Mills theory. 12.3. Path integral quantization of gauge theories. 12.4. Path integral quantization of tensor fields. 12.5. References -- 13. BRST invariance and its consequences. 13.1. BRST symmetry. 13.2. Covariant quantization of Yang-Mills theory. 13.3. Unitarity. 13.4. Slavnov-Taylor identity. 13.5. Feynman rules. 13.6. Ghost free gauges. 13.7. References -- 14. Higgs phenomenon and the standard model. 14.1. Stückelberg formalism. 14.2. Higgs phenomenon. 14.3. The standard model. 14.4. References -- 15. Regularization of Feynman diagrams. 15.1. Introduction. 15.2. Loop expansion. 15.3. Cut-off regularization. 15.4. Pauli-Villars regularization. 15.5. Dimensional regularization. 15.6. References -- 16. Renormalization theory. 16.1. Superficial degree of divergence. 16.2. A brief history of renormalization. 16.3. Schwinger-Dyson equation. 16.4. BPHZ renormalization. 16.5. Renormalization of gauge theories. 16.6. Anomalous Ward identity. 16.7. References -- 17. Renormalization group and equation. 17.1. Gell-Mann-Low equation. 17.2. Renormalization group. 17.3. Renormalization group equation. 17.4. Solving the renormalization group equation. 17.5. Callan-Symanzik equation. 17.6. References. | |
| 520 | |a This book consists of the lectures for a two-semester course on quantum field theory, and as such is presented in a quite informal and personal manner. The course starts with relativistic one-particle systems, and develops the basics of quantum field theory with an analysis of the representations of the Poincaré group. Canonical quantization is carried out for scalar, fermion, Abelian and non-Abelian gauge theories. Covariant quantization of gauge theories is also carried out with a detailed description of the BRST symmetry. The Higgs phenomenon and the standard model of electroweak interactions are also developed systematically. Regularization and (BPHZ) renormalization of field theories as well as gauge theories are discussed in detail, leading to a derivation of the renormalization group equation. In addition, two chapters - one on the Dirac quantization of constrained systems and another on discrete symmetries - are included for completeness, although these are not covered in the two-semester course. | ||
| 650 | 0 | |a Quantum field theory |v Textbooks. | |
| 650 | 7 | |a SCIENCE |x Waves & Wave Mechanics. |2 bisacsh | |
| 650 | 7 | |a Quantum field theory |2 fast | |
| 655 | 7 | |a Textbooks |2 fast | |
| 710 | 2 | |a World Scientific (Firm) |0 http://id.loc.gov/authorities/names/no2001005546 | |
| 776 | 0 | 8 | |i Print version: |a Das, Ashok, 1953- |t Lectures on quantum field theory. |d Singapore ; Hackensack, N.J. : World Scientific Pub. Co., ©2008 |w (DLC) 2009275572 |
| 856 | 4 | 0 | |l FWS01 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=521228 |3 Volltext |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH24686050 | ||
| 938 | |a ebrary |b EBRY |n ebr10688070 | ||
| 938 | |a EBSCOhost |b EBSC |n 521228 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n cis25732392 | ||
| 938 | |a YBP Library Services |b YANK |n 9975222 | ||
| 994 | |a 92 |b GEBAY | ||
| 912 | |a ZDB-4-EBA | ||
| 049 | |a DE-863 | ||
Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn747539687 |
|---|---|
| _version_ | 1816881768599388160 |
| adam_text | |
| any_adam_object | |
| author | Das, Ashok, 1953- |
| author_GND | http://id.loc.gov/authorities/names/n85218480 |
| author_corporate | World Scientific (Firm) |
| author_corporate_role | |
| author_facet | Das, Ashok, 1953- World Scientific (Firm) |
| author_role | |
| author_sort | Das, Ashok, 1953- |
| author_variant | a d ad |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QC174 |
| callnumber-raw | QC174.45 |
| callnumber-search | QC174.45 |
| callnumber-sort | QC 3174.45 |
| callnumber-subject | QC - Physics |
| collection | ZDB-4-EBA |
| contents | 1. Relativistic equations. 1.1. Introducion. 1.2. Notations. 1.3. Klein-Gordon equation. 1.4. Dirac equation. 1.5. References -- 2. Solutions of the Dirac equation. 2.1. Plane wave equation. 2.2. Normalization of the wave function. 2.3. Spin of the Dirac particle. 2.4. Continuity equation. 2.5. Dirac's hole theory. 2.6. Properties of the Dirac matrices. 2.7. References -- 3. Properties of the Dirac equation. 3.1. Lorentz transformations. 3.2. Covariance of the Dirac equation. 3.3. Transformation of bilinears. 3.4. Projection operators, completeness relation. 3.5. Helicity. 3.6. Massless Dirac particle. 3.7. Chirality. 3.8. Non-relativistic limit of the Dirac equation. 3.9. Electron in an external magnetic field. 3.10. Foldy-Wouthuysen transformation. 3.11. Zitterbewegung. 3.12. References -- 4. Representations of Lorentz and Poincaré groups. 4.1. Symmetry algebras. 4.2. Representations of the Lorentz group. 4.3. Unitary representations of the Poincaré group. 4.4. References -- 5. Free Klein-Gordon field theory. 5.1. Introduction. 5.2. Lagrangian density. 5.3. Quantization. 5.4. Field decomposition. 5.5. Creation and annihilation operators. 5.6. Energy eigenstates. 5.7. Physical meaning of energy eigenstates. 5.8. Green's functions. 5.9. Covariant commutation relations. 5.10. References -- 6. Self-interacting scalar field theory. 6.1. Nöther's theorem. 6.2. Self-interacting [symbol] theory. 6.3. Interaction picture and time evolution operator. 6.4. S-matrix. 6.5. Normal ordered product and Wick's theorem. 6.6. Time ordered products and Wick's theorem. 6.7. Spectral representation and dispersion relation. 6.8. References -- 7. Complex scalar field theory. 7.1. Quantization. 7.2. Field decomposition. 7.3. Charge operator. 7.4. Green's functions. 7.5. Spontaneous symmetry breaking and the Goldstone theorem. 7.6. Electromagnetic coupling. 7.7. References -- 8. Dirac field theory. 8.1. Pauli exclusion principle. 8.2. Quantization of the Dirac field. 8.3. Field decomposition. 8.4. Charge operator. 8.5. Green's functions. 8.6. Covariant anti-commutation relations. 8.7. Normal ordered and time ordered products. 8.8. Massless Dirac fields. 8.9. Yukawa interaction. 8.10. Feynman diagrams. 8.11. References -- 9. Maxwell field theory. 9.1. Maxwell's equations. 9.2. Canonical quantization. 9.3. Field decomposition. 9.4. Photon propagator. 9.5. Quantum electrodynamics. 9.6. Physical processes. 9.7. Ward-Takahashi identity in QED. 9.8. Covariant quantization of the Maxwell theory. 9.9. References -- 10. Dirac method for constrained systems. 10.1. Constrained systems. 10.2. Dirac method and Dirac bracket. 10.3. Particle moving on a sphere. 10.4. Relativistic particle. 10.5. Dirac field theory. 10.6. Maxwell field theory. 10.7. References -- 11. Discrete symmetries. 11.1. Parity. 11.2. Charge conjugation. 11.3. Time reversal. 11.4. CPT theorem. 11.5. References -- 12. Yang-Mills theory. 12.1. Non-Abelian gauge theories. 12.2. Canonical quantization of Yang-Mills theory. 12.3. Path integral quantization of gauge theories. 12.4. Path integral quantization of tensor fields. 12.5. References -- 13. BRST invariance and its consequences. 13.1. BRST symmetry. 13.2. Covariant quantization of Yang-Mills theory. 13.3. Unitarity. 13.4. Slavnov-Taylor identity. 13.5. Feynman rules. 13.6. Ghost free gauges. 13.7. References -- 14. Higgs phenomenon and the standard model. 14.1. Stückelberg formalism. 14.2. Higgs phenomenon. 14.3. The standard model. 14.4. References -- 15. Regularization of Feynman diagrams. 15.1. Introduction. 15.2. Loop expansion. 15.3. Cut-off regularization. 15.4. Pauli-Villars regularization. 15.5. Dimensional regularization. 15.6. References -- 16. Renormalization theory. 16.1. Superficial degree of divergence. 16.2. A brief history of renormalization. 16.3. Schwinger-Dyson equation. 16.4. BPHZ renormalization. 16.5. Renormalization of gauge theories. 16.6. Anomalous Ward identity. 16.7. References -- 17. Renormalization group and equation. 17.1. Gell-Mann-Low equation. 17.2. Renormalization group. 17.3. Renormalization group equation. 17.4. Solving the renormalization group equation. 17.5. Callan-Symanzik equation. 17.6. References. |
| ctrlnum | (OCoLC)747539687 |
| dewey-full | 530.14/3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.14/3 |
| dewey-search | 530.14/3 |
| dewey-sort | 3530.14 13 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>08121cam a2200553Ma 4500</leader><controlfield tag="001">ZDB-4-EBA-ocn747539687</controlfield><controlfield tag="003">OCoLC</controlfield><controlfield tag="005">20241004212047.0</controlfield><controlfield tag="006">m o d </controlfield><controlfield tag="007">cr buu|||uu|||</controlfield><controlfield tag="008">090522s2008 si a ob 001 0 eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a"> 2009275572</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">World Scientific Publishing</subfield><subfield code="b">eng</subfield><subfield code="e">pn</subfield><subfield code="c">STF</subfield><subfield code="d">N$T</subfield><subfield code="d">E7B</subfield><subfield code="d">IDEBK</subfield><subfield code="d">DEBSZ</subfield><subfield code="d">YDXCP</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCF</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">LOA</subfield><subfield code="d">AGLDB</subfield><subfield code="d">MOR</subfield><subfield code="d">CCO</subfield><subfield code="d">PIFAG</subfield><subfield code="d">ZCU</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">MERUC</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">U3W</subfield><subfield code="d">WRM</subfield><subfield code="d">VTS</subfield><subfield code="d">NRAMU</subfield><subfield code="d">ICG</subfield><subfield code="d">INT</subfield><subfield code="d">VT2</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">WYU</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">STF</subfield><subfield code="d">DKC</subfield><subfield code="d">AU@</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">M8D</subfield><subfield code="d">UKAHL</subfield><subfield code="d">OCL</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">LEAUB</subfield><subfield code="d">UKCRE</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCL</subfield><subfield code="d">OCLCQ</subfield></datafield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">960207128</subfield><subfield code="a">961653354</subfield><subfield code="a">962647392</subfield><subfield code="a">966487286</subfield><subfield code="a">988529815</subfield><subfield code="a">991999162</subfield><subfield code="a">1037794005</subfield><subfield code="a">1038668090</subfield><subfield code="a">1045486873</subfield><subfield code="a">1055390479</subfield><subfield code="a">1066444086</subfield><subfield code="a">1081288974</subfield><subfield code="a">1086439992</subfield><subfield code="a">1175698045</subfield><subfield code="a">1176486069</subfield><subfield code="a">1228527665</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789812832870</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9812832874</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9789812832863</subfield><subfield code="q">(pbk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9812832866</subfield><subfield code="q">(pbk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9789812832856</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9812832858</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)747539687</subfield><subfield code="z">(OCoLC)960207128</subfield><subfield code="z">(OCoLC)961653354</subfield><subfield code="z">(OCoLC)962647392</subfield><subfield code="z">(OCoLC)966487286</subfield><subfield code="z">(OCoLC)988529815</subfield><subfield code="z">(OCoLC)991999162</subfield><subfield code="z">(OCoLC)1037794005</subfield><subfield code="z">(OCoLC)1038668090</subfield><subfield code="z">(OCoLC)1045486873</subfield><subfield code="z">(OCoLC)1055390479</subfield><subfield code="z">(OCoLC)1066444086</subfield><subfield code="z">(OCoLC)1081288974</subfield><subfield code="z">(OCoLC)1086439992</subfield><subfield code="z">(OCoLC)1175698045</subfield><subfield code="z">(OCoLC)1176486069</subfield><subfield code="z">(OCoLC)1228527665</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QC174.45</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">SCI</subfield><subfield code="x">067000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="7" ind2=" "><subfield code="a">530.14/3</subfield><subfield code="2">22</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">MAIN</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Das, Ashok,</subfield><subfield code="d">1953-</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PBJcWr4TdM8xPxThQ3YvJXd</subfield><subfield code="0">http://id.loc.gov/authorities/names/n85218480</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Lectures on quantum field theory /</subfield><subfield code="c">Ashok Das.</subfield></datafield><datafield tag="246" ind1="3" ind2="0"><subfield code="a">Quantum field theory</subfield></datafield><datafield tag="260" ind1=" " ind2=" "><subfield code="a">Singapore ;</subfield><subfield code="a">Hackensack, N.J. :</subfield><subfield code="b">World Scientific Pub. Co.,</subfield><subfield code="c">©2008.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xiii, 775 pages) :</subfield><subfield code="b">illustrations</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">1. Relativistic equations. 1.1. Introducion. 1.2. Notations. 1.3. Klein-Gordon equation. 1.4. Dirac equation. 1.5. References -- 2. Solutions of the Dirac equation. 2.1. Plane wave equation. 2.2. Normalization of the wave function. 2.3. Spin of the Dirac particle. 2.4. Continuity equation. 2.5. Dirac's hole theory. 2.6. Properties of the Dirac matrices. 2.7. References -- 3. Properties of the Dirac equation. 3.1. Lorentz transformations. 3.2. Covariance of the Dirac equation. 3.3. Transformation of bilinears. 3.4. Projection operators, completeness relation. 3.5. Helicity. 3.6. Massless Dirac particle. 3.7. Chirality. 3.8. Non-relativistic limit of the Dirac equation. 3.9. Electron in an external magnetic field. 3.10. Foldy-Wouthuysen transformation. 3.11. Zitterbewegung. 3.12. References -- 4. Representations of Lorentz and Poincaré groups. 4.1. Symmetry algebras. 4.2. Representations of the Lorentz group. 4.3. Unitary representations of the Poincaré group. 4.4. References -- 5. Free Klein-Gordon field theory. 5.1. Introduction. 5.2. Lagrangian density. 5.3. Quantization. 5.4. Field decomposition. 5.5. Creation and annihilation operators. 5.6. Energy eigenstates. 5.7. Physical meaning of energy eigenstates. 5.8. Green's functions. 5.9. Covariant commutation relations. 5.10. References -- 6. Self-interacting scalar field theory. 6.1. Nöther's theorem. 6.2. Self-interacting [symbol] theory. 6.3. Interaction picture and time evolution operator. 6.4. S-matrix. 6.5. Normal ordered product and Wick's theorem. 6.6. Time ordered products and Wick's theorem. 6.7. Spectral representation and dispersion relation. 6.8. References -- 7. Complex scalar field theory. 7.1. Quantization. 7.2. Field decomposition. 7.3. Charge operator. 7.4. Green's functions. 7.5. Spontaneous symmetry breaking and the Goldstone theorem. 7.6. Electromagnetic coupling. 7.7. References -- 8. Dirac field theory. 8.1. Pauli exclusion principle. 8.2. Quantization of the Dirac field. 8.3. Field decomposition. 8.4. Charge operator. 8.5. Green's functions. 8.6. Covariant anti-commutation relations. 8.7. Normal ordered and time ordered products. 8.8. Massless Dirac fields. 8.9. Yukawa interaction. 8.10. Feynman diagrams. 8.11. References -- 9. Maxwell field theory. 9.1. Maxwell's equations. 9.2. Canonical quantization. 9.3. Field decomposition. 9.4. Photon propagator. 9.5. Quantum electrodynamics. 9.6. Physical processes. 9.7. Ward-Takahashi identity in QED. 9.8. Covariant quantization of the Maxwell theory. 9.9. References -- 10. Dirac method for constrained systems. 10.1. Constrained systems. 10.2. Dirac method and Dirac bracket. 10.3. Particle moving on a sphere. 10.4. Relativistic particle. 10.5. Dirac field theory. 10.6. Maxwell field theory. 10.7. References -- 11. Discrete symmetries. 11.1. Parity. 11.2. Charge conjugation. 11.3. Time reversal. 11.4. CPT theorem. 11.5. References -- 12. Yang-Mills theory. 12.1. Non-Abelian gauge theories. 12.2. Canonical quantization of Yang-Mills theory. 12.3. Path integral quantization of gauge theories. 12.4. Path integral quantization of tensor fields. 12.5. References -- 13. BRST invariance and its consequences. 13.1. BRST symmetry. 13.2. Covariant quantization of Yang-Mills theory. 13.3. Unitarity. 13.4. Slavnov-Taylor identity. 13.5. Feynman rules. 13.6. Ghost free gauges. 13.7. References -- 14. Higgs phenomenon and the standard model. 14.1. Stückelberg formalism. 14.2. Higgs phenomenon. 14.3. The standard model. 14.4. References -- 15. Regularization of Feynman diagrams. 15.1. Introduction. 15.2. Loop expansion. 15.3. Cut-off regularization. 15.4. Pauli-Villars regularization. 15.5. Dimensional regularization. 15.6. References -- 16. Renormalization theory. 16.1. Superficial degree of divergence. 16.2. A brief history of renormalization. 16.3. Schwinger-Dyson equation. 16.4. BPHZ renormalization. 16.5. Renormalization of gauge theories. 16.6. Anomalous Ward identity. 16.7. References -- 17. Renormalization group and equation. 17.1. Gell-Mann-Low equation. 17.2. Renormalization group. 17.3. Renormalization group equation. 17.4. Solving the renormalization group equation. 17.5. Callan-Symanzik equation. 17.6. References.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This book consists of the lectures for a two-semester course on quantum field theory, and as such is presented in a quite informal and personal manner. The course starts with relativistic one-particle systems, and develops the basics of quantum field theory with an analysis of the representations of the Poincaré group. Canonical quantization is carried out for scalar, fermion, Abelian and non-Abelian gauge theories. Covariant quantization of gauge theories is also carried out with a detailed description of the BRST symmetry. The Higgs phenomenon and the standard model of electroweak interactions are also developed systematically. Regularization and (BPHZ) renormalization of field theories as well as gauge theories are discussed in detail, leading to a derivation of the renormalization group equation. In addition, two chapters - one on the Dirac quantization of constrained systems and another on discrete symmetries - are included for completeness, although these are not covered in the two-semester course.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Quantum field theory</subfield><subfield code="v">Textbooks.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">SCIENCE</subfield><subfield code="x">Waves & Wave Mechanics.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Quantum field theory</subfield><subfield code="2">fast</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="a">Textbooks</subfield><subfield code="2">fast</subfield></datafield><datafield tag="710" ind1="2" ind2=" "><subfield code="a">World Scientific (Firm)</subfield><subfield code="0">http://id.loc.gov/authorities/names/no2001005546</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="a">Das, Ashok, 1953-</subfield><subfield code="t">Lectures on quantum field theory.</subfield><subfield code="d">Singapore ; Hackensack, N.J. : World Scientific Pub. Co., ©2008</subfield><subfield code="w">(DLC) 2009275572</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="l">FWS01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=521228</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH24686050</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ebrary</subfield><subfield code="b">EBRY</subfield><subfield code="n">ebr10688070</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">521228</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ProQuest MyiLibrary Digital eBook Collection</subfield><subfield code="b">IDEB</subfield><subfield code="n">cis25732392</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">9975222</subfield></datafield><datafield tag="994" ind1=" " ind2=" "><subfield code="a">92</subfield><subfield code="b">GEBAY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-863</subfield></datafield></record></collection> |
| genre | Textbooks fast |
| genre_facet | Textbooks |
| id | ZDB-4-EBA-ocn747539687 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:17:58Z |
| institution | BVB |
| institution_GND | http://id.loc.gov/authorities/names/no2001005546 |
| isbn | 9789812832870 9812832874 |
| language | English |
| lccn | 2009275572 |
| oclc_num | 747539687 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xiii, 775 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | World Scientific Pub. Co., |
| record_format | marc |
| spelling | Das, Ashok, 1953- https://id.oclc.org/worldcat/entity/E39PBJcWr4TdM8xPxThQ3YvJXd http://id.loc.gov/authorities/names/n85218480 Lectures on quantum field theory / Ashok Das. Quantum field theory Singapore ; Hackensack, N.J. : World Scientific Pub. Co., ©2008. 1 online resource (xiii, 775 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references and index. 1. Relativistic equations. 1.1. Introducion. 1.2. Notations. 1.3. Klein-Gordon equation. 1.4. Dirac equation. 1.5. References -- 2. Solutions of the Dirac equation. 2.1. Plane wave equation. 2.2. Normalization of the wave function. 2.3. Spin of the Dirac particle. 2.4. Continuity equation. 2.5. Dirac's hole theory. 2.6. Properties of the Dirac matrices. 2.7. References -- 3. Properties of the Dirac equation. 3.1. Lorentz transformations. 3.2. Covariance of the Dirac equation. 3.3. Transformation of bilinears. 3.4. Projection operators, completeness relation. 3.5. Helicity. 3.6. Massless Dirac particle. 3.7. Chirality. 3.8. Non-relativistic limit of the Dirac equation. 3.9. Electron in an external magnetic field. 3.10. Foldy-Wouthuysen transformation. 3.11. Zitterbewegung. 3.12. References -- 4. Representations of Lorentz and Poincaré groups. 4.1. Symmetry algebras. 4.2. Representations of the Lorentz group. 4.3. Unitary representations of the Poincaré group. 4.4. References -- 5. Free Klein-Gordon field theory. 5.1. Introduction. 5.2. Lagrangian density. 5.3. Quantization. 5.4. Field decomposition. 5.5. Creation and annihilation operators. 5.6. Energy eigenstates. 5.7. Physical meaning of energy eigenstates. 5.8. Green's functions. 5.9. Covariant commutation relations. 5.10. References -- 6. Self-interacting scalar field theory. 6.1. Nöther's theorem. 6.2. Self-interacting [symbol] theory. 6.3. Interaction picture and time evolution operator. 6.4. S-matrix. 6.5. Normal ordered product and Wick's theorem. 6.6. Time ordered products and Wick's theorem. 6.7. Spectral representation and dispersion relation. 6.8. References -- 7. Complex scalar field theory. 7.1. Quantization. 7.2. Field decomposition. 7.3. Charge operator. 7.4. Green's functions. 7.5. Spontaneous symmetry breaking and the Goldstone theorem. 7.6. Electromagnetic coupling. 7.7. References -- 8. Dirac field theory. 8.1. Pauli exclusion principle. 8.2. Quantization of the Dirac field. 8.3. Field decomposition. 8.4. Charge operator. 8.5. Green's functions. 8.6. Covariant anti-commutation relations. 8.7. Normal ordered and time ordered products. 8.8. Massless Dirac fields. 8.9. Yukawa interaction. 8.10. Feynman diagrams. 8.11. References -- 9. Maxwell field theory. 9.1. Maxwell's equations. 9.2. Canonical quantization. 9.3. Field decomposition. 9.4. Photon propagator. 9.5. Quantum electrodynamics. 9.6. Physical processes. 9.7. Ward-Takahashi identity in QED. 9.8. Covariant quantization of the Maxwell theory. 9.9. References -- 10. Dirac method for constrained systems. 10.1. Constrained systems. 10.2. Dirac method and Dirac bracket. 10.3. Particle moving on a sphere. 10.4. Relativistic particle. 10.5. Dirac field theory. 10.6. Maxwell field theory. 10.7. References -- 11. Discrete symmetries. 11.1. Parity. 11.2. Charge conjugation. 11.3. Time reversal. 11.4. CPT theorem. 11.5. References -- 12. Yang-Mills theory. 12.1. Non-Abelian gauge theories. 12.2. Canonical quantization of Yang-Mills theory. 12.3. Path integral quantization of gauge theories. 12.4. Path integral quantization of tensor fields. 12.5. References -- 13. BRST invariance and its consequences. 13.1. BRST symmetry. 13.2. Covariant quantization of Yang-Mills theory. 13.3. Unitarity. 13.4. Slavnov-Taylor identity. 13.5. Feynman rules. 13.6. Ghost free gauges. 13.7. References -- 14. Higgs phenomenon and the standard model. 14.1. Stückelberg formalism. 14.2. Higgs phenomenon. 14.3. The standard model. 14.4. References -- 15. Regularization of Feynman diagrams. 15.1. Introduction. 15.2. Loop expansion. 15.3. Cut-off regularization. 15.4. Pauli-Villars regularization. 15.5. Dimensional regularization. 15.6. References -- 16. Renormalization theory. 16.1. Superficial degree of divergence. 16.2. A brief history of renormalization. 16.3. Schwinger-Dyson equation. 16.4. BPHZ renormalization. 16.5. Renormalization of gauge theories. 16.6. Anomalous Ward identity. 16.7. References -- 17. Renormalization group and equation. 17.1. Gell-Mann-Low equation. 17.2. Renormalization group. 17.3. Renormalization group equation. 17.4. Solving the renormalization group equation. 17.5. Callan-Symanzik equation. 17.6. References. This book consists of the lectures for a two-semester course on quantum field theory, and as such is presented in a quite informal and personal manner. The course starts with relativistic one-particle systems, and develops the basics of quantum field theory with an analysis of the representations of the Poincaré group. Canonical quantization is carried out for scalar, fermion, Abelian and non-Abelian gauge theories. Covariant quantization of gauge theories is also carried out with a detailed description of the BRST symmetry. The Higgs phenomenon and the standard model of electroweak interactions are also developed systematically. Regularization and (BPHZ) renormalization of field theories as well as gauge theories are discussed in detail, leading to a derivation of the renormalization group equation. In addition, two chapters - one on the Dirac quantization of constrained systems and another on discrete symmetries - are included for completeness, although these are not covered in the two-semester course. Quantum field theory Textbooks. SCIENCE Waves & Wave Mechanics. bisacsh Quantum field theory fast Textbooks fast World Scientific (Firm) http://id.loc.gov/authorities/names/no2001005546 Print version: Das, Ashok, 1953- Lectures on quantum field theory. Singapore ; Hackensack, N.J. : World Scientific Pub. Co., ©2008 (DLC) 2009275572 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=521228 Volltext |
| spellingShingle | Das, Ashok, 1953- Lectures on quantum field theory / 1. Relativistic equations. 1.1. Introducion. 1.2. Notations. 1.3. Klein-Gordon equation. 1.4. Dirac equation. 1.5. References -- 2. Solutions of the Dirac equation. 2.1. Plane wave equation. 2.2. Normalization of the wave function. 2.3. Spin of the Dirac particle. 2.4. Continuity equation. 2.5. Dirac's hole theory. 2.6. Properties of the Dirac matrices. 2.7. References -- 3. Properties of the Dirac equation. 3.1. Lorentz transformations. 3.2. Covariance of the Dirac equation. 3.3. Transformation of bilinears. 3.4. Projection operators, completeness relation. 3.5. Helicity. 3.6. Massless Dirac particle. 3.7. Chirality. 3.8. Non-relativistic limit of the Dirac equation. 3.9. Electron in an external magnetic field. 3.10. Foldy-Wouthuysen transformation. 3.11. Zitterbewegung. 3.12. References -- 4. Representations of Lorentz and Poincaré groups. 4.1. Symmetry algebras. 4.2. Representations of the Lorentz group. 4.3. Unitary representations of the Poincaré group. 4.4. References -- 5. Free Klein-Gordon field theory. 5.1. Introduction. 5.2. Lagrangian density. 5.3. Quantization. 5.4. Field decomposition. 5.5. Creation and annihilation operators. 5.6. Energy eigenstates. 5.7. Physical meaning of energy eigenstates. 5.8. Green's functions. 5.9. Covariant commutation relations. 5.10. References -- 6. Self-interacting scalar field theory. 6.1. Nöther's theorem. 6.2. Self-interacting [symbol] theory. 6.3. Interaction picture and time evolution operator. 6.4. S-matrix. 6.5. Normal ordered product and Wick's theorem. 6.6. Time ordered products and Wick's theorem. 6.7. Spectral representation and dispersion relation. 6.8. References -- 7. Complex scalar field theory. 7.1. Quantization. 7.2. Field decomposition. 7.3. Charge operator. 7.4. Green's functions. 7.5. Spontaneous symmetry breaking and the Goldstone theorem. 7.6. Electromagnetic coupling. 7.7. References -- 8. Dirac field theory. 8.1. Pauli exclusion principle. 8.2. Quantization of the Dirac field. 8.3. Field decomposition. 8.4. Charge operator. 8.5. Green's functions. 8.6. Covariant anti-commutation relations. 8.7. Normal ordered and time ordered products. 8.8. Massless Dirac fields. 8.9. Yukawa interaction. 8.10. Feynman diagrams. 8.11. References -- 9. Maxwell field theory. 9.1. Maxwell's equations. 9.2. Canonical quantization. 9.3. Field decomposition. 9.4. Photon propagator. 9.5. Quantum electrodynamics. 9.6. Physical processes. 9.7. Ward-Takahashi identity in QED. 9.8. Covariant quantization of the Maxwell theory. 9.9. References -- 10. Dirac method for constrained systems. 10.1. Constrained systems. 10.2. Dirac method and Dirac bracket. 10.3. Particle moving on a sphere. 10.4. Relativistic particle. 10.5. Dirac field theory. 10.6. Maxwell field theory. 10.7. References -- 11. Discrete symmetries. 11.1. Parity. 11.2. Charge conjugation. 11.3. Time reversal. 11.4. CPT theorem. 11.5. References -- 12. Yang-Mills theory. 12.1. Non-Abelian gauge theories. 12.2. Canonical quantization of Yang-Mills theory. 12.3. Path integral quantization of gauge theories. 12.4. Path integral quantization of tensor fields. 12.5. References -- 13. BRST invariance and its consequences. 13.1. BRST symmetry. 13.2. Covariant quantization of Yang-Mills theory. 13.3. Unitarity. 13.4. Slavnov-Taylor identity. 13.5. Feynman rules. 13.6. Ghost free gauges. 13.7. References -- 14. Higgs phenomenon and the standard model. 14.1. Stückelberg formalism. 14.2. Higgs phenomenon. 14.3. The standard model. 14.4. References -- 15. Regularization of Feynman diagrams. 15.1. Introduction. 15.2. Loop expansion. 15.3. Cut-off regularization. 15.4. Pauli-Villars regularization. 15.5. Dimensional regularization. 15.6. References -- 16. Renormalization theory. 16.1. Superficial degree of divergence. 16.2. A brief history of renormalization. 16.3. Schwinger-Dyson equation. 16.4. BPHZ renormalization. 16.5. Renormalization of gauge theories. 16.6. Anomalous Ward identity. 16.7. References -- 17. Renormalization group and equation. 17.1. Gell-Mann-Low equation. 17.2. Renormalization group. 17.3. Renormalization group equation. 17.4. Solving the renormalization group equation. 17.5. Callan-Symanzik equation. 17.6. References. Quantum field theory Textbooks. SCIENCE Waves & Wave Mechanics. bisacsh Quantum field theory fast |
| title | Lectures on quantum field theory / |
| title_alt | Quantum field theory |
| title_auth | Lectures on quantum field theory / |
| title_exact_search | Lectures on quantum field theory / |
| title_full | Lectures on quantum field theory / Ashok Das. |
| title_fullStr | Lectures on quantum field theory / Ashok Das. |
| title_full_unstemmed | Lectures on quantum field theory / Ashok Das. |
| title_short | Lectures on quantum field theory / |
| title_sort | lectures on quantum field theory |
| topic | Quantum field theory Textbooks. SCIENCE Waves & Wave Mechanics. bisacsh Quantum field theory fast |
| topic_facet | Quantum field theory Textbooks. SCIENCE Waves & Wave Mechanics. Quantum field theory Textbooks |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=521228 |
| work_keys_str_mv | AT dasashok lecturesonquantumfieldtheory AT worldscientificfirm lecturesonquantumfieldtheory AT dasashok quantumfieldtheory AT worldscientificfirm quantumfieldtheory |