Adventures In Theoretical Physics

Selected Papers With Commentaries

By: Stephen L Adler (Editor)

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Paperback | 19 January 2006

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During the period 1964-1972, Stephen L Adler wrote seminal papers on high energy neutrino processes, current algebras, soft pion theorems, sum rules, and perturbation theory anomalies that helped lay the foundations for our current standard model of elementary particle physics. These papers are reprinted here together with detailed historical commentaries describing how they evolved, their relation to other work in the field, and their connection to recent literature. Later important work by Dr Adler on a wide range of topics in fundamental theory, phenomenology, and numerical methods, and their related historical background, is also covered in the commentaries and reprints.This book will be a valuable resource for graduate students and researchers in the fields in which Dr Adler has worked, and for historians of science studying physics in the final third of the twentieth century, a period in which an enduring synthesis was achieved.

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"This book will be a valuable resource for graduate students and researchers in the fields in which Dr Adler has worked, and for historians of science studying physics in the final third of the twentieth century, a period in which an enduring synthesis was achieved." Zentralblatt MATH

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Preface	p. vii
Commentaries
Early Years, and Condensed Matter Physics	p. 1
References for Chapter 1	p. 3
High Energy Neutrino Reactions, PCAC Relations, and Sum Rules	p. 4
Introduction	p. 4
Forward Lepton Theorem	p. 6
Soft Pion Theorems	p. 8
Sum Rules	p. 14
More Low Energy Theorems; Weak Pion Production Redux	p. 20
References for Chapter 2	p. 24
Anomalies: Chiral Anomalies and Their Nonrenormalization, Perturbative Corrections to Scaling, and Trace Anomalies to All Orders	p. 30
Chiral Anomalies and [pi superscript 0] to [gamma gamma] Decay	p. 30
Anomaly Nonrenormalization	p. 36
Point Splitting Calculations of the Anomaly	p. 39
The Non-Abelian Anomaly, Its Nonrenormalization and Geometric Interpretation	p. 41
Perturbative Corrections to Scaling	p. 44
Trace Anomalies to All Orders	p. 47
References for Chapter 3	p. 49
Quantum Electrodynamics	p. 55
Introduction	p. 55
Strong Magnetic Field Electrodynamics: Photon Splitting and Vacuum Dielectric Constant	p. 56
The "Finite QED" Program via the Callan-Symanzik Equations	p. 58
Compactification of Massless QED and Applications	p. 60
References for Chapter 4	p. 62
Particle Phenomenology and Neutral Currents	p. 65
Introduction	p. 65
Visits to Fermilab	p. 65
Neutral Currents	p. 68
References for Chapter 5	p. 71
Gravitation	p. 74
Introduction	p. 74
First Papers	p. 75
Einstein Gravity as a Symmetry Breaking Effect	p. 77
References for Chapter 6	p. 80
Non-Abelian Monopoles, Confinement Models, and Chiral Symmetry Breaking	p. 83
Introduction	p. 83
Non-Abelian Monopoles	p. 83
Confinement Models	p. 87
Chiral Symmetry Breaking	p. 92
References for Chapter 7	p. 94
Overrelaxation for Monte Carlo and Other Algorithms	p. 98
Introduction	p. 98
Overrelaxation to Accelerate Monte Carlo	p. 98
Image Normalization	p. 101
References for Chapter 8	p. 101
Quaternionic Quantum Mechanics, Trace Dynamics, and Emergent Quantum Theory	p. 103
Introduction	p. 103
Quaternionic Quantum Mechanics	p. 103
Quaternionic Projective Group Representations	p. 104
Trace Dynamics and Emergent Quantum Theory	p. 107
References for Chapter 9	p. 109
Where Next?	p. 111
Index of Names in the Commentaries	p. 112
Reprinted Papers
Early Years, and Condensed Matter Physics
From Elements of Radio to Elementary Particle Physics	p. 121
Theory of the Valence Band Splittings at k = 0 in Zinc-Blende and Wurtzite Structures	p. 123
Quantum Theory of the Dielectric Constant in Real Solids	p. 128
High Energy Neutrino Reactions, PCAC Relations, and Sum Rules
Tests of the Conserved Vector Current and Partially Conserved Axial-Vector Current Hypotheses in High-Energy Neutrino Reactions	p. 136
Consistency Conditions on the Strong Interactions Implied by a Partially Conserved Axial-Vector Current	p. 140
Consistency Conditions on the Strong Interactions Implied by a Partially Conserved Axial-Vector Current. II	p. 152
Appendix A, from Current Algebras and Applications to Particle Physics	p. 158
Calculation of the Axial-Vector Coupling Constant Renormalization in [beta] Decay	p. 166
Sum Rules for the Axial-Vector Coupling-Constant Renormalization in [beta] Decay	p. 171
Sum Rules Giving Tests of Local Current Commutation Relations in High-Energy Neutrino Reactions	p. 183
Neutrino or Electron Energy Needed for Testing Current Commutation Relations	p. 195
Low-Energy Theorem for the Weak Axial-Vector Vertex	p. 200
Partially Conserved Axial-Vector Current Restrictions on Pion Photoproduction and Electroproduction Amplitudes	p. 211
Possible Measurement of the Nucleon Axial-Vector Form Factor in Two-Pion Electroproduction Experiments	p. 219
Photo-, Electro-, and Weak Single-Pion Production in the (3,3) Resonance Region (excerpts)	p. 225
Anomalies: Chiral Anomalies and Their Nonrenormalization, Perturbative Corrections to Scaling, and Trace Anomalies to All Orders
Axial-Vector Vertex in Spinor Electrodynamics	p. 241
[pi superscript 0] Decay	p. 254
Anomalous Commutators and the Triangle Diagram	p. 263
Absence of Higher-Order Corrections in the Anomalous Axial-Vector Divergence Equation	p. 268
Low Energy Theorem for [gamma] + [gamma] to [pi] + [pi] - [pi]	p. 288
Breakdown of Asymptotic Sum Rules in Perturbation Theory	p. 293
Bjorken Limit in Perturbation Theory	p. 297
Anomalies in Ward Identities and Current Commutation Relations (excerpt)	p. 311
Energy-Momentum-Tensor Trace Anomaly in Spin-1/2 Quantum Electrodynamics	p. 318
Quantum Electrodynamics
Photon Splitting in a Strong Magnetic Field	p. 328
Photon Splitting and Photon Dispersion in a Strong Magnetic Field (excerpts)	p. 333
Photon Splitting in a Strong Magnetic Field: Recalculation and Comparison with Previous Calculations	p. 354
Quantum Electrodynamics without Photon Self-Energy Parts: An Application of the Callan-Symanzik Scaling Equations	p. 358
Short-Distance Behavior of Quantum Electrodynamics and an Eigenvalue Condition for [alpha]	p. 368
Constraints on Anomalies	p. 395
Massless, Euclidean Quantum Electrodynamics on the 5-Dimensional Unit Hypersphere	p. 402
Massless Electrodynamics in the One-Photon-Mode Approximation	p. 419
Particle Phenomenology and Neutral Currents
Three-Pion States in the K[subscript L] to [mu superscript + mu superscript -] Puzzle	p. 442
Some Simple Vacuum-Polarization Phenomenology: e[superscript +]e[superscript -] to Hadrons; the Muonic-Atom X-Ray Discrepancy and g[subscript mu] - 2	p. 445
I = 1/2 Contributions to [nu subscript mu] + N to [nu subscript mu] + N + [pi superscript 0] in the Weinberg Weak-Interaction Model	p. 460
Nuclear Charge-Exchange Corrections to Leptonic Pion Production in the (3,3)-Resonance Region	p. 462
Application of Current Algebra Techniques to Neutral-Current-Induced Threshold Pion Production	p. 481
Application of Current-Algebra Techniques to Soft-Pion Production by the Weak Neutral Current: V, A Case	p. 485
Renormalization Constants for Scalar, Pseudoscalar, and Tensor Currents	p. 507
Gravitation
Trace Anomaly of the Stress-Energy Tensor for Massless Vector Particles Propagating in a General Background Metric	p. 517
"No-Hair" Theorems for the Abelian Higgs and Goldstone Models	p. 527
Order-R Vacuum Action Functional in Scalar-Free Unified Theories with Spontaneous Scale Breaking	p. 533
A Formula for the Induced Gravitational Constant	p. 536
Einstein Gravity as a Symmetry-Breaking Effect in Quantum Field Theory	p. 539
Non-Abelian Monopoles, Confinement Models, and Chiral Symmetry Breaking
Appendix A, from Theory of Static Quark Forces	p. 577
Appendix A, from Classical Quark Statics	p. 582
Relaxation Methods for Gauge Field Equilibrium Equations	p. 584
Effective-Action Approach to Mean-Field Non-Abelian Statics, and a Model for Bag Formation	p. 609
Flux Confinement in the Leading Logarithm Model	p. 620
The Heavy Quark Static Potential in the Leading Log and the Leading Log Log Models	p. 627
Quasi-Abelian versus Large-N[subscript c] Linear Confinement	p. 633
Chiral Symmetry Breaking in Coulomb Gauge QCD	p. 635
Gap Equation Models for Chiral Symmetry Breaking	p. 658
Overrelaxation for Monte Carlo and Other Algorithms
Over-Relaxation Method for the Monte Carlo Evaluation of the Partition Function for Multiquadratic Actions	p. 664
Overrelaxation Algorithms for Lattice Field Theories	p. 668
Stochastic Algorithm Corresponding to a General Linear Iterative Process	p. 682
Study of an Overrelaxation Method for Gauge Theories	p. 685
Algorithms for Pure Gauge Theory	p. 689
General Theory of Image Normalization (excerpt)	p. 699
Similarity and Affine Normalization of Partially Occluded Planar Curves Using First and Second Derivatives	p. 703
Quaternionic Quantum Mechanics
Nonadiabatic Geometric Phase in Quaternionic Hilbert Space	p. 709
Coherent States in Quaternionic Quantum Mechanics	p. 720
Projective Group Representations in Quaternionic Hilbert Space	p. 730
A Rejoinder on Quaternionic Projective Representations	p. 739
Stephen L. Adler: Vita	p. 744
Table of Contents provided by Ingram. All Rights Reserved.

Adventures In Theoretical Physics

Selected Papers With Commentaries

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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