Modern quantum field theory : a concise introduction /
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| Author / Creator: | Banks, Tom, 1949- |
|---|---|
| Imprint: | Cambridge, UK ; New York : Cambridge University Press, 2008. |
| Description: | 271 p. ; 26 cm. |
| Language: | English |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/7536520 |
Table of Contents:
- 1. Introduction
- 1.1. Preface and conventions
- 1.2. Why quantum field theory?
- 2. Quantum theory of free scalar fields
- 2.1. Local fields
- 2.2. Problems for Chapter 2
- 3. Interacting field theory
- 3.1. Schwinger-Dyson equations and functional integrals
- 3.2. Functional integral solution of the SD equations
- 3.3. Perturbation theory
- 3.4. Connected and 1-P(article) I(rreducible) Green functions
- 3.5. Legendre's trees
- 3.6. The Kallen-Lehmann spectral representation
- 3.7. The scattering matrix and the LSZ formula
- 3.8. Problems for Chapter 3
- 4. Particles of spin 1, and gauge invariance
- 4.1. Massive spinning particles
- 4.2. Massless particles with helicity
- 4.3. Field theory for massive spin-1 particles
- 4.4. Problems for Chapter 4
- 5. Spin-1/2 particles and Fermi statistics
- 5.1. Dirac, Majorana, and Weyl fields: discrete symmetries
- 5.2. The functional formalism for fermion fields
- 5.3. Feynman rules for Dirac fermions
- 5.4. Problems for Chapter 5
- 6. Massive quantum electrodynamics
- 6.1. Free the longitudinal gauge bosons!
- 6.2. Heavy-fermion production in electron-positron annihilation
- 6.3. Interaction with heavy fermions: particle paths and external fields
- 6.4. The magnetic moment of a weakly coupled charged particle
- 6.5. Problems for Chapter 6
- 7. Symmetries, Ward identities, and Nambu-Goldstone bosons
- 7.1. Space-time symmetries
- 7.2. Spontaneously broken symmetries
- 7.3. Nambu-Goldstone bosons in the semi-classical expansion
- 7.4. Low-energy effective field theory of Nambu-Goldstone bosons
- 7.5. Problems for Chapter 7
- 8. Non-abelian gauge theory
- 8.1. The non-abelian Higgs phenomenon
- 8.2. BRST symmetry
- 8.3. A brief history of the physics of non-abelian gauge theory
- 8.4. The Higgs model, duality, and the phases of gauge theory
- 8.5. Confinement of monopoles in the Higgs phase
- 8.6. The electro-weak sector of the standard model
- 8.7. Symmetries and symmetry breaking in the strong interactions
- 8.8. Anomalies
- 8.9. Quantization of gauge theories in the Higgs phase
- 8.10. Problems for Chapter 8
- 9. Renormalization and effective field theory
- 9.1. Divergences in Feynman graphs
- 9.2. Cut-offs
- 9.3. Renormalization and critical phenomena
- 9.4. The renormalization (semi-)group in field theory
- 9.5. Mathematical (Lorentz-invariant, unitary) quantum field theory
- 9.6. Renormalization of [phi superscript 4] field theory
- 9.7. Renormalization-group equations in dimensional regularization
- 9.8. Renormalization of QED at one loop
- 9.9. Renormalization-group equations in QED
- 9.10. Why is QED IR-free?
- 9.11. Coupling renormalization in non-abelian gauge theory
- 9.12. Renormalization-group equations for masses and the hierarchy problem
- 9.13. Renormalization-group equations for the S-matrix
- 9.14. Renormalization and symmetry
- 9.15. The standard model through the lens of renormalization
- 9.16. Problems for Chapter 9
- 10. Instantons and solitons
- 10.1. The most probable escape path
- 10.2. Instantons in quantum mechanics
- 10.3. Instantons and solitons in field theory
- 10.4. Instantons in the two-dimensional Higgs model
- 10.5. Monopole instantons in three-dimensional Higgs models
- 10.6. Yang-Mills instantons
- 10.7. Solitons
- 10.8. 't Hooft-Polyakov monopoles
- 10.9. Problems for Chapter 10
- 11. Concluding remarks
- Appendix A. Books
- Appendix B. Cross sections
- Appendix C. Diracology
- Appendix D. Feynman rules
- Appendix E. Group theory and Lie algebras
- Appendix F. Everything else
- References
- Author index
- Subject index
