Current algebra remains our most successful analysis of fundamental particle interactions. This collection of surveys on current algebra and anomalies is a successor volume to Lectures on Current Algebra and Its Applications (Princeton Series in Physics, 1972). Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
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Vendeur : World of Books (was SecondSale), Montgomery, IL, Etats-Unis
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Vendeur : Solr Books, Lincolnwood, IL, Etats-Unis
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Vendeur : MW Books, New York, NY, Etats-Unis
1st edition. Fine cloth copy in an equally fine dust-wrapper. Particularly well-preserved overall; tight, bright, clean and especially sharp-cornered. 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. N° de réf. du vendeur 386077
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Vendeur : MW Books Ltd., Galway, Irlande
1st edition. Fine cloth copy in an equally fine dust-wrapper. Particularly well-preserved overall; tight, bright, clean and especially sharp-cornered. 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. N° de réf. du vendeur 386077
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Vendeur : Mispah books, Redhill, SURRE, Royaume-Uni
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