Field theory: a path integral approach
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub.
©2006
|
| Ausgabe: | 2nd ed |
| Schriftenreihe: | World Scientific lecture notes in physics
v. 75 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (xiv, 361 pages) |
| ISBN: | 9789812568472 9789812773265 9812568476 9812773266 |
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| 245 | 1 | 0 | |a Field theory |b a path integral approach |c Ashok Das |
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| 490 | 0 | |a World Scientific lecture notes in physics |v v. 75 | |
| 500 | |a Includes bibliographical references and index | ||
| 500 | |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 -- | ||
| 500 | |a - 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 -- | ||
| 500 | |a - 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 | ||
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| 650 | 7 | |a Path integrals |2 fast | |
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| 650 | 4 | |a Path integrals | |
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Datensatz im Suchindex
| _version_ | 1804175539152355328 |
|---|---|
| any_adam_object | |
| author | Das, Ashok |
| author_facet | Das, Ashok |
| author_role | aut |
| author_sort | Das, Ashok |
| author_variant | a d ad |
| building | Verbundindex |
| bvnumber | BV043115213 |
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| ctrlnum | (OCoLC)652248411 (DE-599)BVBBV043115213 |
| 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 Mathematik |
| edition | 2nd ed |
| format | Electronic eBook |
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| isbn | 9789812568472 9789812773265 9812568476 9812773266 |
| language | English |
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| record_format | marc |
| series2 | World Scientific lecture notes in physics |
| spelling | Das, Ashok Verfasser aut Field theory a path integral approach Ashok Das 2nd ed Singapore World Scientific Pub. ©2006 1 Online-Ressource (xiv, 361 pages) txt rdacontent c rdamedia 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 Intégrales de chemin Champs, Théorie quantique des SCIENCE / Waves & Wave Mechanics bisacsh Path integrals fast Quantum field theory fast Quantenfeldtheorie swd Path integrals Quantum field theory Feldtheorie (DE-588)4016698-3 gnd rswk-swf Pfadintegral (DE-588)4173973-5 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 s Pfadintegral (DE-588)4173973-5 s 1\p DE-604 Feldtheorie (DE-588)4016698-3 s 2\p DE-604 Erscheint auch als Druck-Ausgabe, Paperback 978-981-256-848-9 Erscheint auch als Druck-Ausgabe, Paperback 981-256-848-4 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=514851 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Das, Ashok Field theory a path integral approach Intégrales de chemin Champs, Théorie quantique des SCIENCE / Waves & Wave Mechanics bisacsh Path integrals fast Quantum field theory fast Quantenfeldtheorie swd Path integrals Quantum field theory Feldtheorie (DE-588)4016698-3 gnd Pfadintegral (DE-588)4173973-5 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd |
| subject_GND | (DE-588)4016698-3 (DE-588)4173973-5 (DE-588)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 | Intégrales de chemin Champs, Théorie quantique des SCIENCE / Waves & Wave Mechanics bisacsh Path integrals fast Quantum field theory fast Quantenfeldtheorie swd Path integrals Quantum field theory Feldtheorie (DE-588)4016698-3 gnd Pfadintegral (DE-588)4173973-5 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd |
| topic_facet | Intégrales de chemin Champs, Théorie quantique des SCIENCE / Waves & Wave Mechanics Path integrals Quantum field theory Quantenfeldtheorie Feldtheorie Pfadintegral |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=514851 |
| work_keys_str_mv | AT dasashok fieldtheoryapathintegralapproach |