The Quantum Theory of Fields Volume 2 Modern Applications 1st Edition by Steven Weinberg 1139644173 9781139644174

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Product details:

ISBN 10: 1139644173 

ISBN 13: 9781139644174

Author: Steven Weinberg

The Quantum Theory of Fields, first published in 1996, is a self-contained, comprehensive introduction to quantum field theory from Nobel Laureate Steven Weinberg. Volume II gives an account of the methods of quantum field theory, and how they have led to an understanding of the weak, strong, and electromagnetic interactions of the elementary particles. The presentation of modern mathematical methods is throughout interwoven with accounts of the problems of elementary particle physics and condensed matter physics to which they have been applied. Many topics are included that are not usually found in books on quantum field theory. The book is peppered with examples and insights from the author’s experience as a leader of elementary particle physics. Exercises are included at the end of each chapter.

Table of contents:

15. Non-Abelian Gauge Theories
15.1 Gauge Invariance
15.2 Gauge Theory Lagrangians and Simple Lie Groups
15.3 Field Equations and Conservation Laws
15.4 Quantization
15.5 The De Witt–Faddeev–Popov Method
15.6 Ghosts
15.7 BRST Symmetry
15.8 Generalizations of BRST Symmetry*
15.9 The Batalin–Vilkovisky Formalism*
Appendix A: A Theorem Regarding Lie Algebras
Appendix B: The Cartan Catalog
Problems
References

16. External Field Methods
16.1 The Quantum Effective Action
16.2 Calculation of the Effective Potential
16.3 Energy Interpretation
16.4 Symmetries of the Effective Action
Problems
References

17. Renormalization of Gauge Theories
17.1 The Zinn-Justin Equation
17.2 Renormalization: Direct Analysis
17.3 Renormalization: General Gauge Theories*
17.4 Background Field Gauge
17.5 A One-Loop Calculation in Background Field Gauge
Problems
References

18. Renormalization Group Methods
18.1 Where do the Large Logarithms Come From?
18.2 The Sliding Scale
18.3 Varieties of Asymptotic Behavior
18.4 Multiple Couplings and Mass Effects
18.5 Critical Phenomena*
18.6 Minimal Subtraction
18.7 Quantum Chromodynamics
18.8 Improved Perturbation Theory*
Problems
References

19. Spontaneously Broken Global Symmetries
19.1 Degenerate Vacua
19.2 Goldstone Bosons
19.3 Spontaneously Broken Approximate Symmetries
19.4 Pions as Goldstone Bosons
19.5 Effective Field Theories: Pions and Nucleons
19.6 Effective Field Theories: General Broken Symmetries
19.7 Effective Field Theories: SU(3) × SU(3)
19.8 Anomalous Terms in Effective Field Theories*
19.9 Unbroken Symmetries
19.10 The U(1) Problem
Problems
References

20. Operator Product Expansions
20.1 The Expansion: Description and Derivation
20.2 Momentum Flow*
20.3 Renormalization Group Equations for Coefficient Functions
20.4 Symmetry Properties of Coefficient Functions
20.5 Spectral Function Sum Rules
20.6 Deep Inelastic Scattering
20.7 Renormalons*
Appendix: Momentum Flow: The General Case
Problems
References

21. Spontaneously Broken Gauge Symmetries
21.1 Unitarity Gauge
21.2 Renormalizable ξ-Gauges
21.3 The Electroweak Theory
21.4 Dynamically Broken Local Symmetries*
21.5 Electroweak–Strong Unification
21.6 Superconductivity*
Appendix: General Unitarity Gauge
Problems
References

22. Anomalies
22.1 The π⁰ Decay Problem
22.2 Transformation of the Measure: The Abelian Anomaly
22.3 Direct Calculation of Anomalies: The General Case
22.4 Anomaly-Free Gauge Theories
22.5 Massless Bound States*
22.6 Consistency Conditions
22.7 Anomalies and Goldstone Bosons
Problems
References

23. Extended Field Configurations
23.1 The Uses of Topology
23.2 Homotopy Groups
23.3 Monopoles
23.4 The Cartan–Maurer Integral Invariant
23.5 Instantons
23.6 The Theta Angle
23.7 Quantum Fluctuations around Extended Field Configurations
23.8 Vacuum Decay

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Tags: Steven Weinberg, Quantum, Theory, Fields