Field theory :: a path integral approach /
This unique book describes quantum field theory completely within the context of path integrals. With its utility in a variety of fields in physics, the subject matter is primarily developed within the context of quantum mechanics before going into specialized areas. Adding new material keenly reque...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore ; Hackensack, NJ :
World Scientific Pub.,
©2006.
|
| Ausgabe: | 2nd ed. |
| Schriftenreihe: | World Scientific lecture notes in physics ;
v. 75. |
| Schlagworte: | |
| Online-Zugang: | DE-862 DE-863 |
| Zusammenfassung: | This unique book describes quantum field theory completely within the context of path integrals. With its utility in a variety of fields in physics, the subject matter is primarily developed within the context of quantum mechanics before going into specialized areas. Adding new material keenly requested by readers, this second edition is an important expansion of the popular first edition. Two extra chapters cover path integral quantization of gauge theories and anomalies, and a new section extends the supersymmetry chapter, where singular potentials in supersymmetric systems are described. |
| Beschreibung: | 1 online resource (xiv, 361 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9789812773265 9812773266 |
Internformat
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| 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 Field theory : |b a path integral approach / |c Ashok Das. |
| 250 | |a 2nd ed. | ||
| 260 | |a Singapore ; |a Hackensack, NJ : |b World Scientific Pub., |c ©2006. | ||
| 300 | |a 1 online resource (xiv, 361 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 | ||
| 490 | 1 | |a World Scientific lecture notes in physics ; |v v. 75 | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a 1. Introduction. 1.1. Particles and fields. 1.2. Metric and other notations. 1.3. Functionals. 1.4. Review of quantum mechanics. 1.5. References -- 2. Path integrals and quantum mechanics. 2.1. Basis states. 2.2. Operator ordering. 2.3. The classical limit. 2.4. Equivalence with the Schrödinger equation. 2.5. Free particle. 2.6. References -- 3. Harmonic oscillator. 3.1. Path integral for the Harmonic oscillator. 3.2. Method of Fourier transform. 3.3. Matrix method. 3.4. The classical action. 3.5. References -- 4. Generating functional. 4.1. Euclidean rotation. 4.2. Time ordered correlation functions. 4.3. Correlation functions in definite states. 4.4. Vacuum functional. 4.5. Anharmonic oscillator. 4.6. References -- 5. Path integrals for fermions. 5.1. Fermionic oscillator. 5.2. Grassmann variables. 5.3. Generating functional. 5.4. Feynman propagator. 5.5. The fermion determinant. 5.6. References -- 6. Supersymmetry. 6.1. Supersymmetric oscillator. 6.2. Supersymmetric quantum mechanics. 6.3. Shape invariance. 6.4. Example. 6.5. Supersymmetry and singular potentials. 6.6. References -- 7. Semi-classical methods. 7.1. WKB approximation. 7.2. Saddle point method. 7.3. Semi-classical methods in path integrals. 7.4. Double well potential. 7.5. References -- 8. Path integral for the double well. 8.1. Instantons. 8.2. Zero modes. 8.3. The instanton integral. 8.4. Evaluating the determinant. 8.5. Multi-instanton contributions. 8.6. References -- 9. Path integral for relativistic theories. 9.1. Systems with many degrees of freedom. 9.2. Relativistic scalar field theory. 9.3. Feynman rules. 9.4. Connected diagrams. 9.5. References -- 10. Effective action. 10.1. The classical field. 10.2. Effective action. 10.3. Loop expansion. 10.4. Effective potential at one loop. 10.5. References -- 11. Invariances and their consequences. 11.1. Symmetries of the action. 11.2. Noether's theorem. 11.3. Complex scalar field. 11.4. Ward identities. 11.5. Spontaneous symmetry breaking. 11.6. Goldstone theorem. 11.7. References -- 12. Gauge theories. 12.1. Maxwell theory. 12.2. Non-Abelian gauge theory. 12.3. Path integral for gauge theories. 12.4. BRST invariance. 12.5. Ward identities. 12.6. References -- 13. Anomalies. 13.1. Anomalous ward identity. 13.2. Schwinger model. 13.3. References -- 14. Systems at finite temperature. 14.1. Statistical mechanics. 14.2. Critical exponents. 14.3. Harmonic oscillator. 14.4. Fermionic oscillator. 14.5. References -- 15. Ising model. 15.1. One dimensional Ising model. 15.2. The partition function. 15.3. Two dimensional Ising model. 15.4. Duality. 15.5. High and low temperature expansions. 15.6. Quantum mechanical model. 15.7. Duality in the quantum system. 15.8. References. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a This unique book describes quantum field theory completely within the context of path integrals. With its utility in a variety of fields in physics, the subject matter is primarily developed within the context of quantum mechanics before going into specialized areas. Adding new material keenly requested by readers, this second edition is an important expansion of the popular first edition. Two extra chapters cover path integral quantization of gauge theories and anomalies, and a new section extends the supersymmetry chapter, where singular potentials in supersymmetric systems are described. | ||
| 650 | 0 | |a Path integrals. |0 http://id.loc.gov/authorities/subjects/sh85067112 | |
| 650 | 0 | |a Quantum field theory. |0 http://id.loc.gov/authorities/subjects/sh85109461 | |
| 650 | 6 | |a Intégrales de chemin. | |
| 650 | 6 | |a Théorie quantique des champs. | |
| 650 | 7 | |a SCIENCE |x Waves & Wave Mechanics. |2 bisacsh | |
| 650 | 7 | |a Path integrals |2 fast | |
| 650 | 7 | |a Quantum field theory |2 fast | |
| 650 | 7 | |a Quantenfeldtheorie |2 gnd |0 http://d-nb.info/gnd/4047984-5 | |
| 776 | 0 | 8 | |i Print version: |a Das, Ashok, 1953- |t Field theory. |b 2nd ed. |d Singapore ; Hackensack, NJ : World Scientific Pub., ©2006 |w (DLC) 2006283970 |w (OCoLC)76925280 |
| 830 | 0 | |a World Scientific lecture notes in physics ; |v v. 75. |0 http://id.loc.gov/authorities/names/n84715132 | |
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Datensatz im Suchindex
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| author | Das, Ashok, 1953- |
| author_GND | http://id.loc.gov/authorities/names/n85218480 |
| author_facet | Das, Ashok, 1953- |
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| author_sort | Das, Ashok, 1953- |
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| contents | 1. Introduction. 1.1. Particles and fields. 1.2. Metric and other notations. 1.3. Functionals. 1.4. Review of quantum mechanics. 1.5. References -- 2. Path integrals and quantum mechanics. 2.1. Basis states. 2.2. Operator ordering. 2.3. The classical limit. 2.4. Equivalence with the Schrödinger equation. 2.5. Free particle. 2.6. References -- 3. Harmonic oscillator. 3.1. Path integral for the Harmonic oscillator. 3.2. Method of Fourier transform. 3.3. Matrix method. 3.4. The classical action. 3.5. References -- 4. Generating functional. 4.1. Euclidean rotation. 4.2. Time ordered correlation functions. 4.3. Correlation functions in definite states. 4.4. Vacuum functional. 4.5. Anharmonic oscillator. 4.6. References -- 5. Path integrals for fermions. 5.1. Fermionic oscillator. 5.2. Grassmann variables. 5.3. Generating functional. 5.4. Feynman propagator. 5.5. The fermion determinant. 5.6. References -- 6. Supersymmetry. 6.1. Supersymmetric oscillator. 6.2. Supersymmetric quantum mechanics. 6.3. Shape invariance. 6.4. Example. 6.5. Supersymmetry and singular potentials. 6.6. References -- 7. Semi-classical methods. 7.1. WKB approximation. 7.2. Saddle point method. 7.3. Semi-classical methods in path integrals. 7.4. Double well potential. 7.5. References -- 8. Path integral for the double well. 8.1. Instantons. 8.2. Zero modes. 8.3. The instanton integral. 8.4. Evaluating the determinant. 8.5. Multi-instanton contributions. 8.6. References -- 9. Path integral for relativistic theories. 9.1. Systems with many degrees of freedom. 9.2. Relativistic scalar field theory. 9.3. Feynman rules. 9.4. Connected diagrams. 9.5. References -- 10. Effective action. 10.1. The classical field. 10.2. Effective action. 10.3. Loop expansion. 10.4. Effective potential at one loop. 10.5. References -- 11. Invariances and their consequences. 11.1. Symmetries of the action. 11.2. Noether's theorem. 11.3. Complex scalar field. 11.4. Ward identities. 11.5. Spontaneous symmetry breaking. 11.6. Goldstone theorem. 11.7. References -- 12. Gauge theories. 12.1. Maxwell theory. 12.2. Non-Abelian gauge theory. 12.3. Path integral for gauge theories. 12.4. BRST invariance. 12.5. Ward identities. 12.6. References -- 13. Anomalies. 13.1. Anomalous ward identity. 13.2. Schwinger model. 13.3. References -- 14. Systems at finite temperature. 14.1. Statistical mechanics. 14.2. Critical exponents. 14.3. Harmonic oscillator. 14.4. Fermionic oscillator. 14.5. References -- 15. Ising model. 15.1. One dimensional Ising model. 15.2. The partition function. 15.3. Two dimensional Ising model. 15.4. Duality. 15.5. High and low temperature expansions. 15.6. Quantum mechanical model. 15.7. Duality in the quantum system. 15.8. References. |
| ctrlnum | (OCoLC)652248411 |
| dewey-full | 530.14/3 |
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| dewey-ones | 530 - Physics |
| dewey-raw | 530.14/3 |
| dewey-search | 530.14/3 |
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| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 2nd ed. |
| format | Electronic eBook |
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Introduction. 1.1. Particles and fields. 1.2. Metric and other notations. 1.3. Functionals. 1.4. Review of quantum mechanics. 1.5. References -- 2. Path integrals and quantum mechanics. 2.1. Basis states. 2.2. Operator ordering. 2.3. The classical limit. 2.4. Equivalence with the Schrödinger equation. 2.5. Free particle. 2.6. References -- 3. Harmonic oscillator. 3.1. Path integral for the Harmonic oscillator. 3.2. Method of Fourier transform. 3.3. Matrix method. 3.4. The classical action. 3.5. References -- 4. Generating functional. 4.1. Euclidean rotation. 4.2. Time ordered correlation functions. 4.3. Correlation functions in definite states. 4.4. Vacuum functional. 4.5. Anharmonic oscillator. 4.6. References -- 5. Path integrals for fermions. 5.1. Fermionic oscillator. 5.2. Grassmann variables. 5.3. Generating functional. 5.4. Feynman propagator. 5.5. The fermion determinant. 5.6. References -- 6. Supersymmetry. 6.1. Supersymmetric oscillator. 6.2. Supersymmetric quantum mechanics. 6.3. Shape invariance. 6.4. Example. 6.5. Supersymmetry and singular potentials. 6.6. References -- 7. Semi-classical methods. 7.1. WKB approximation. 7.2. Saddle point method. 7.3. Semi-classical methods in path integrals. 7.4. Double well potential. 7.5. References -- 8. Path integral for the double well. 8.1. Instantons. 8.2. Zero modes. 8.3. The instanton integral. 8.4. Evaluating the determinant. 8.5. Multi-instanton contributions. 8.6. References -- 9. Path integral for relativistic theories. 9.1. Systems with many degrees of freedom. 9.2. Relativistic scalar field theory. 9.3. Feynman rules. 9.4. Connected diagrams. 9.5. References -- 10. Effective action. 10.1. The classical field. 10.2. Effective action. 10.3. Loop expansion. 10.4. Effective potential at one loop. 10.5. References -- 11. Invariances and their consequences. 11.1. Symmetries of the action. 11.2. Noether's theorem. 11.3. Complex scalar field. 11.4. Ward identities. 11.5. Spontaneous symmetry breaking. 11.6. Goldstone theorem. 11.7. References -- 12. Gauge theories. 12.1. Maxwell theory. 12.2. Non-Abelian gauge theory. 12.3. Path integral for gauge theories. 12.4. BRST invariance. 12.5. Ward identities. 12.6. References -- 13. Anomalies. 13.1. Anomalous ward identity. 13.2. Schwinger model. 13.3. References -- 14. Systems at finite temperature. 14.1. Statistical mechanics. 14.2. Critical exponents. 14.3. Harmonic oscillator. 14.4. Fermionic oscillator. 14.5. References -- 15. Ising model. 15.1. One dimensional Ising model. 15.2. The partition function. 15.3. Two dimensional Ising model. 15.4. Duality. 15.5. High and low temperature expansions. 15.6. Quantum mechanical model. 15.7. Duality in the quantum system. 15.8. References.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This unique book describes quantum field theory completely within the context of path integrals. With its utility in a variety of fields in physics, the subject matter is primarily developed within the context of quantum mechanics before going into specialized areas. Adding new material keenly requested by readers, this second edition is an important expansion of the popular first edition. 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| id | ZDB-4-EBA-ocn652248411 |
| illustrated | Illustrated |
| indexdate | 2025-04-11T08:36:53Z |
| institution | BVB |
| isbn | 9789812773265 9812773266 |
| language | English |
| oclc_num | 652248411 |
| open_access_boolean | |
| owner | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| physical | 1 online resource (xiv, 361 pages) : illustrations |
| psigel | ZDB-4-EBA FWS_PDA_EBA ZDB-4-EBA |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | World Scientific Pub., |
| record_format | marc |
| series | World Scientific lecture notes in physics ; |
| series2 | World Scientific lecture notes in physics ; |
| spelling | Das, Ashok, 1953- https://id.oclc.org/worldcat/entity/E39PBJcWr4TdM8xPxThQ3YvJXd http://id.loc.gov/authorities/names/n85218480 Field theory : a path integral approach / Ashok Das. 2nd ed. Singapore ; Hackensack, NJ : World Scientific Pub., ©2006. 1 online resource (xiv, 361 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier World Scientific lecture notes in physics ; v. 75 Includes bibliographical references and index. 1. Introduction. 1.1. Particles and fields. 1.2. Metric and other notations. 1.3. Functionals. 1.4. Review of quantum mechanics. 1.5. References -- 2. Path integrals and quantum mechanics. 2.1. Basis states. 2.2. Operator ordering. 2.3. The classical limit. 2.4. Equivalence with the Schrödinger equation. 2.5. Free particle. 2.6. References -- 3. Harmonic oscillator. 3.1. Path integral for the Harmonic oscillator. 3.2. Method of Fourier transform. 3.3. Matrix method. 3.4. The classical action. 3.5. References -- 4. Generating functional. 4.1. Euclidean rotation. 4.2. Time ordered correlation functions. 4.3. Correlation functions in definite states. 4.4. Vacuum functional. 4.5. Anharmonic oscillator. 4.6. References -- 5. Path integrals for fermions. 5.1. Fermionic oscillator. 5.2. Grassmann variables. 5.3. Generating functional. 5.4. Feynman propagator. 5.5. The fermion determinant. 5.6. References -- 6. Supersymmetry. 6.1. Supersymmetric oscillator. 6.2. Supersymmetric quantum mechanics. 6.3. Shape invariance. 6.4. Example. 6.5. Supersymmetry and singular potentials. 6.6. References -- 7. Semi-classical methods. 7.1. WKB approximation. 7.2. Saddle point method. 7.3. Semi-classical methods in path integrals. 7.4. Double well potential. 7.5. References -- 8. Path integral for the double well. 8.1. Instantons. 8.2. Zero modes. 8.3. The instanton integral. 8.4. Evaluating the determinant. 8.5. Multi-instanton contributions. 8.6. References -- 9. Path integral for relativistic theories. 9.1. Systems with many degrees of freedom. 9.2. Relativistic scalar field theory. 9.3. Feynman rules. 9.4. Connected diagrams. 9.5. References -- 10. Effective action. 10.1. The classical field. 10.2. Effective action. 10.3. Loop expansion. 10.4. Effective potential at one loop. 10.5. References -- 11. Invariances and their consequences. 11.1. Symmetries of the action. 11.2. Noether's theorem. 11.3. Complex scalar field. 11.4. Ward identities. 11.5. Spontaneous symmetry breaking. 11.6. Goldstone theorem. 11.7. References -- 12. Gauge theories. 12.1. Maxwell theory. 12.2. Non-Abelian gauge theory. 12.3. Path integral for gauge theories. 12.4. BRST invariance. 12.5. Ward identities. 12.6. References -- 13. Anomalies. 13.1. Anomalous ward identity. 13.2. Schwinger model. 13.3. References -- 14. Systems at finite temperature. 14.1. Statistical mechanics. 14.2. Critical exponents. 14.3. Harmonic oscillator. 14.4. Fermionic oscillator. 14.5. References -- 15. Ising model. 15.1. One dimensional Ising model. 15.2. The partition function. 15.3. Two dimensional Ising model. 15.4. Duality. 15.5. High and low temperature expansions. 15.6. Quantum mechanical model. 15.7. Duality in the quantum system. 15.8. References. Print version record. This unique book describes quantum field theory completely within the context of path integrals. With its utility in a variety of fields in physics, the subject matter is primarily developed within the context of quantum mechanics before going into specialized areas. Adding new material keenly requested by readers, this second edition is an important expansion of the popular first edition. Two extra chapters cover path integral quantization of gauge theories and anomalies, and a new section extends the supersymmetry chapter, where singular potentials in supersymmetric systems are described. Path integrals. http://id.loc.gov/authorities/subjects/sh85067112 Quantum field theory. http://id.loc.gov/authorities/subjects/sh85109461 Intégrales de chemin. Théorie quantique des champs. SCIENCE Waves & Wave Mechanics. bisacsh Path integrals fast Quantum field theory fast Quantenfeldtheorie gnd http://d-nb.info/gnd/4047984-5 Print version: Das, Ashok, 1953- Field theory. 2nd ed. Singapore ; Hackensack, NJ : World Scientific Pub., ©2006 (DLC) 2006283970 (OCoLC)76925280 World Scientific lecture notes in physics ; v. 75. http://id.loc.gov/authorities/names/n84715132 |
| spellingShingle | Das, Ashok, 1953- Field theory : a path integral approach / World Scientific lecture notes in physics ; 1. Introduction. 1.1. Particles and fields. 1.2. Metric and other notations. 1.3. Functionals. 1.4. Review of quantum mechanics. 1.5. References -- 2. Path integrals and quantum mechanics. 2.1. Basis states. 2.2. Operator ordering. 2.3. The classical limit. 2.4. Equivalence with the Schrödinger equation. 2.5. Free particle. 2.6. References -- 3. Harmonic oscillator. 3.1. Path integral for the Harmonic oscillator. 3.2. Method of Fourier transform. 3.3. Matrix method. 3.4. The classical action. 3.5. References -- 4. Generating functional. 4.1. Euclidean rotation. 4.2. Time ordered correlation functions. 4.3. Correlation functions in definite states. 4.4. Vacuum functional. 4.5. Anharmonic oscillator. 4.6. References -- 5. Path integrals for fermions. 5.1. Fermionic oscillator. 5.2. Grassmann variables. 5.3. Generating functional. 5.4. Feynman propagator. 5.5. The fermion determinant. 5.6. References -- 6. Supersymmetry. 6.1. Supersymmetric oscillator. 6.2. Supersymmetric quantum mechanics. 6.3. Shape invariance. 6.4. Example. 6.5. Supersymmetry and singular potentials. 6.6. References -- 7. Semi-classical methods. 7.1. WKB approximation. 7.2. Saddle point method. 7.3. Semi-classical methods in path integrals. 7.4. Double well potential. 7.5. References -- 8. Path integral for the double well. 8.1. Instantons. 8.2. Zero modes. 8.3. The instanton integral. 8.4. Evaluating the determinant. 8.5. Multi-instanton contributions. 8.6. References -- 9. Path integral for relativistic theories. 9.1. Systems with many degrees of freedom. 9.2. Relativistic scalar field theory. 9.3. Feynman rules. 9.4. Connected diagrams. 9.5. References -- 10. Effective action. 10.1. The classical field. 10.2. Effective action. 10.3. Loop expansion. 10.4. Effective potential at one loop. 10.5. References -- 11. Invariances and their consequences. 11.1. Symmetries of the action. 11.2. Noether's theorem. 11.3. Complex scalar field. 11.4. Ward identities. 11.5. Spontaneous symmetry breaking. 11.6. Goldstone theorem. 11.7. References -- 12. Gauge theories. 12.1. Maxwell theory. 12.2. Non-Abelian gauge theory. 12.3. Path integral for gauge theories. 12.4. BRST invariance. 12.5. Ward identities. 12.6. References -- 13. Anomalies. 13.1. Anomalous ward identity. 13.2. Schwinger model. 13.3. References -- 14. Systems at finite temperature. 14.1. Statistical mechanics. 14.2. Critical exponents. 14.3. Harmonic oscillator. 14.4. Fermionic oscillator. 14.5. References -- 15. Ising model. 15.1. One dimensional Ising model. 15.2. The partition function. 15.3. Two dimensional Ising model. 15.4. Duality. 15.5. High and low temperature expansions. 15.6. Quantum mechanical model. 15.7. Duality in the quantum system. 15.8. References. Path integrals. http://id.loc.gov/authorities/subjects/sh85067112 Quantum field theory. http://id.loc.gov/authorities/subjects/sh85109461 Intégrales de chemin. Théorie quantique des champs. SCIENCE Waves & Wave Mechanics. bisacsh Path integrals fast Quantum field theory fast Quantenfeldtheorie gnd http://d-nb.info/gnd/4047984-5 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85067112 http://id.loc.gov/authorities/subjects/sh85109461 http://d-nb.info/gnd/4047984-5 |
| title | Field theory : a path integral approach / |
| title_auth | Field theory : a path integral approach / |
| title_exact_search | Field theory : a path integral approach / |
| title_full | Field theory : a path integral approach / Ashok Das. |
| title_fullStr | Field theory : a path integral approach / Ashok Das. |
| title_full_unstemmed | Field theory : a path integral approach / Ashok Das. |
| title_short | Field theory : |
| title_sort | field theory a path integral approach |
| title_sub | a path integral approach / |
| topic | Path integrals. http://id.loc.gov/authorities/subjects/sh85067112 Quantum field theory. http://id.loc.gov/authorities/subjects/sh85109461 Intégrales de chemin. Théorie quantique des champs. SCIENCE Waves & Wave Mechanics. bisacsh Path integrals fast Quantum field theory fast Quantenfeldtheorie gnd http://d-nb.info/gnd/4047984-5 |
| topic_facet | Path integrals. Quantum field theory. Intégrales de chemin. Théorie quantique des champs. SCIENCE Waves & Wave Mechanics. Path integrals Quantum field theory Quantenfeldtheorie |
| work_keys_str_mv | AT dasashok fieldtheoryapathintegralapproach |