Current Algebra and Anomalies / [compiled by] Sam B. Treiman, Roman Jackiw, Bruno Zumino, Edward Witten

Witten, E. Treiman, Sam B. Zumino, B.

1985, 1st edition. Princeton, New Jersey : Princeton University Press. Fine cloth copy in an equally fine dust-wrapper. Particularly well-preserved overall; tight, bright, clean and especially sharp-cornered. Item #386077
ISBN: 0691083975

Physical description; 535 pp. Notes; Includes bibliographical references. Contents; CURRENT ALGEBRA AND PCAC 1. Introduction -- 2. The Physical Currents -- 2.1 Electromagnetic Hadron Currents -- 2.2 Weak Lepton Currents -- 2.3 Weak Hadron Currents -- 2.4 Weak Non-Leptonic Interactions -- 3. Current Commutation Relations -- 4. PCAC -- 4.1 Neutron (Sb (B Decay -- 4.2 PCAC for Neutrino Reactions -- 4.3 The Adler Consistency Condition -- 4.4 Discussion -- 5. Current Algebra: Methods -- 6. Some Applications of Current Algebra -- 6.1 Cabibbo -Radicati Sum Rule -- 6.2 The Adler Sum Rule for Neutrino Reactions -- 6.3 The Adler- Weisberger Formula -- 7. The A-W Formula and Generalizations -- 8. Semi- Leptonic Decay Processes -- 8.1 Kl3 Decay -- 8.2 K14 Decay -- 9. Non-Leptonic Decays -- 9.1 K?3 (Ss (B Decays -- 9.2 Hyperon Decay -- References -- FIELD THEORETIC INVESTIGATIONS IN CURRENT ALGEBRA† -- 1. Introduction -- References -- 2. Canonical and Space-Time Constraints in Current Algebra -- 2.1 Canonical Theory of Currents -- 2.2 Space- Time Constraints on Commutators -- 2.3 Space-Time Constraints on Green's Functions -- 2.5 Schwinger Terms -- 2.4 Space-Time Constraints on Ward Identities -- 2.6 Discussion -- References -- 3. The Bjorken-Johnson-Low Limit -- References -- 4. The (Ss (B? ? 2 (Sd (B Problem -- 4.1 Preliminaries -- 4.2 Sutherland- Veltman Theorem -- 4.3 Model Calculation -- 4.4 Anomalous Ward Identity -- 4.5 Anomalous Commutators -- 4.6 Anomalous Divergence of Axial Current -- 4.7 Discussion -- References -- 5. Electroproduction Sum Rules -- 5.1 Preliminaries -- 5.2 Derivation of Sum Rules, Naive Method -- 5.3 Derivation of Sum Rules, Dispersive Method -- 5.4 Model Calculation -- 5.5 Anomalous Commutators -- 5.6 Discussion -- References -- 6. Discussion of Anomalies in Current Algebra -- 6.1 Miscellaneous Anomalies -- 6.2 Non -Perturbative Arguments for Anomalies -- 6.3 Models without Anomalies. 6.4 Discussion -- References -- 7. Approximate Scale Symmetry -- 7.1 Introduction -- 7.2 Canonical Theory of Scale and Conformal Transformations -- 7.3 Ward Identities and Trace Identities -- 7.4 False Theorems -- 7.5 True Theorems -- References -- (A) EXERCISES -- (B) SOLUTIONS -- TOPOLOGICAL INVESTIGATIONS OF QUANTIZED GAUGE THEORIES† -- 1. Introduction -- 2. Description of Vector Gauge Theories -- 2.1 Action and Equations of Motion -- 2.2 Symmetries -- 2.3 Couplings to Matter Fields -- 2.4 Classical Gauge Fields -- 3. Quantization -- 3.1 Constrained Quanturn Mechanical Example -- 3.2 Quantizing a Yang-Mills Theory -- 3.3 (Sk (B Angle -- 3.4 Functional Integral Formulation -- 3.5 Semi-Classical Picture for the Vacuum Angle -- 4. Fermion Interactions and Anomalies -- 4.1 Quantized Fermions -- 4.2 Gauge Invariance and Fermion Couplings -- 4.3 Chiral (or Axial Vector) Anomalies -- 4.4 Some Physical Consequences of Anomalies -- 5. Quantization Constraints on Physical Parameters -- 5.1 Dirac Point Monopole -- 5.2 Three -Dimensional Gauge Theories -- 5.3 Four-Dimensional Gauge Theories -- 5.4 Discussion -- 6. Conclusions -- 6.1 Abelian Functional Gauge Structures in Non -Abelian Theories -- 6.2 Cochains, Cocycles and the Coboundary Operation -- 6.3 Cocycles in Quantum Mechanics -- 6.3.1 1-Cocycle -- 6.3.2 2-Cocycle -- 6.3.3 3-Cocycle -- 6.4 Cocycles in Quantum Field Theory -- 6.4.1 0-Cocycle -- 6.4.2 1-Cocycle -- 6.4.3 2-Cocycle -- 6.4.4 3-Cocycle -- 6.5 Higher-Dimensional Gauge Dynamics Suggested by the Chern-Simons Term -- 6.6 The Dirac Sea and Chiral Anomalies -- 6.7 Discussion -- Acknowledgement -- Solutions to Selected Exercises* -- References -- CHIRAL ANOMALIES AND DIFFERENTIAL GEOMETRY -- 1. Introduction -- 2. Chiral Anomalies and Differential Forms -- 3. Transformation Properties of the Anomalies -- 4. Identification and Use of the Anomalies.
5. Normalization of the Anomalies -- Appendix I. A Simple Formula for (Sa (B2n-2 -- References -- CONSISTENT AND COVARIANT ANOMALIES IN GAUGE AND GRAVITATIONAL THEORIES†* -- 1. Introduction -- 2. Gauge structure of currents and anomalies in four dimensions -- 3. Chiral anomalies in higher dimensions -- 4. Purely gravitational anomalies -- 5. The covariant energy momentum tensor and its covariant anomaly -- 6. Einstein anomalies and Lorentz anomalies are equivalent -- 7. Conclusion -- Appendix A -- ALGEBRAIC STRUCTURE -- Appendix B -- SOLUTION OF THE ANOMALY EQUATION -- Reference -- AN SU(2) ANOMALY -- GLOBAL ASPECTS OF CURRENT ALGEBRA†* -- References -- GRAVITATIONAL ANOMALIES† -- 1. Introduction -- 2. Some generalities about anomalies -- 3. Gravitational anomalies in four dimensions -- 4. Purely gravitational anomalies -- 5. The spin-1/2 anomaly in two dimensions -- 6. The spin-1/2 anomaly in 4K+2 dimensions -- 7. Gravitational anomalies for fields of spin 3/2 -- 8. The antisymmetric tensor field -- 9. Mixed anomalies -- 10. Global gravitational anomalies -- 11. An alternative computation of the gravitational anomaly -- 12. Cancellation of anomalies -- References -- CURRENT ALGEBRA, BARYONS, AND QUARK CONFINEMENT†* -- Note added in proof -- References -- SKYRMIONS AND QCD† -- 1. The H -- 2. The Callan-Rubakov Effect -- 3. Baryon Resonances. Subjects; Algebra of currents. Field theory (Physics). Gauge fields. Physics Quantum Theory. Physics Nuclear.

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