Adventures in Theoretical Physics : Selected Papers with Commentaries

by Adler, Stephen L.

• ISBN13: 9789812565228
• ISBN10: 9812565221
• Format: Paperback
• Copyright: 2006-04-17
• Publisher: World Scientific Pub Co Inc

Summary

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.

Table of Contents

Preface	vii
COMMENTARIES
Early Years, and Condensed Matter Physics	1	(3)
References for Chapter 1	3	(1)
High Energy Neutrino Reactions, PCAC Relations, and Sum Rules	4	(26)
Introduction	4	(2)
Forward Lepton Theorem	6	(2)
Soft Pion Theorems	8	(6)
Sum Rules	14	(6)
More Low Energy Theorems; Weak Pion Production Redux	20	(4)
References for Chapter 2	24	(6)
Anomalies: Chiral Anomalies and Their Nonrenormalization, Perturbative Corrections to Scaling, and Trace Anomalies to All Orders	30	(25)
Chiral Anomalies and π0 → γγ Decay	30	(6)
Anomaly Nonrenormalization	36	(3)
Point Splitting Calculations of the Anomaly	39	(2)
The Non-Abelian Anomaly, Its Nonrenormalization and Geometric Interpretation	41	(3)
Perturbative Corrections to Scaling	44	(3)
Trace Anomalies to All Orders	47	(2)
References for Chapter 3	49	(6)
Quantum Electrodynamics	55	(10)
Introduction	55	(1)
Strong Magnetic Field Electrodynamics: Photon Splitting and Vacuum Dielectric Constant	56	(2)
The ``Finite QED'' Program via the Callan--Symanzik Equations	58	(2)
Compactification of Massless QED and Applications	60	(2)
References for Chapter 4	62	(3)
Particle Phenomenology and Neutral Currents	65	(9)
Introduction	65	(1)
Visits to Fermilab	65	(3)
Neutral Currents	68	(3)
References for Chapter 5	71	(3)
Gravitation	74	(9)
Introduction	74	(1)
First Papers	75	(2)
Einstein Gravity as a Symmetry Breaking Effect	77	(3)
References for Chapter 6	80	(3)
Non-Abelian Monopoles, Confinement Models, and Chiral Symmetry Breaking	83	(15)
Introduction	83	(1)
Non-Abelian Monopoles	83	(4)
Confinement Models	87	(5)
Chiral Symmetry Breaking	92	(2)
References for Chapter 7	94	(4)
Overrelaxation for Monte Carlo and Other Algorithms	98	(5)
Introduction	98	(1)
Overrelaxation to Accelerate Monte Carlo	98	(3)
Image Normalization	101	(1)
References for Chapter 8	101	(2)
Quaternionic Quantum Mechanics, Trace Dynamics, and Emergent Quantum Theory	103	(8)
Introduction	103	(1)
Quaternionic Quantum Mechanics	103	(1)
Quaternionic Projective Group Representations	104	(3)
Trace Dynamics and Emergent Quantum Theory	107	(2)
References for Chapter 9	109	(2)
Where Next?	111	(633)
Index of Names in the Commentaries	112	(9)
REPRINTED PAPERS
Early Years, and Condensed Matter Physics
From Elements of Radio to Elementary Particle Physics	121	(2)
Theory of the Valence Band Splittings at k = 0 in Zinc-Blende and Wurtzite Structures	123	(5)
Quantum Theory of the Dielectric Constant in Real Solids	128	(8)
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	136	(4)
Consistency Conditions on the Strong Interactions Implied by a Partially Conserved Axial-Vector Current	140	(12)
Consistency Conditions on the Strong Interactions Implied by a Partially Conserved Axial-Vector Current. II	152	(6)
Appendix A, from Current Algebras and Applications to Particle Physics	158	(8)
R. F. Dashen
Calculation of the Axial-Vector Coupling Constant Renormalization in β Decay	166	(5)
Sum Rules for the Axial-Vector Coupling-Constant Renormalization in β Decay	171	(12)
Sum Rules Giving Tests of Local Current Commutation Relations in High-Energy Neutrino Reactions	183	(12)
Neutrino or Electron Energy Needed for Testing Current Commutation Relations	195	(5)
with F. J. Gilman
Low-Energy Theorem for the Weak Axial-Vector Vertex	200	(11)
with Y. Dothan
Partially Conserved Axial-Vector Current Restrictions on Pion Photoproduction and Electroproduction Amplitudes	211	(8)
F. J. Gilman
Possible Measurement of the Nucleon Axial-Vector Form Factor in Two-Pion Electroproduction Experiments	219	(6)
W. I. Weisberger
Photo-, Electro-, and Weak Single-Pion Production in the (3,3) Resonance Region (excerpts)	225	(16)
Anomalies: Chiral Anomalies and Their Nonrenormalization, Perturbative Corrections to Scaling, and Trace Anomalies to All Orders
Axial-Vector Vertex in Spinor Electrodynamics	241	(13)
π0 Decay	254	(9)
Anomalous Commutators and the Triangle Diagram	263	(5)
D. G. Boulware
Absence of Higher-Order Corrections in the Anomalous Axial-Vector Divergence Equation	268	(20)
W. A. Bardeen
Low Energy Theorem for γ + γ → π + π + π	288	(5)
B. W. Lee
S. B. Treiman
A. Zee
Breakdown of Asymptotic Sum Rules in Perturbation Theory	293	(4)
W.-K. Tung
Bjorken Limit in Perturbation Theory	297	(14)
W.-K. Tung
Anomalies in Ward Identities and Current Commutation Relations (excerpt)	311	(7)
Energy-Momentum-Tensor Trace Anomaly in Spin-1/2 Quantum Electrodynamics	318	(10)
J. C. Collins
A. Duncan
Quantum Electrodynamics
Photon Splitting in a Strong Magnetic Field	328	(5)
J. N. Bahcall
C. G. Callan
M. N. Rosenbluth
Photon Splitting and Photon Dispersion in a Strong Magnetic Field (excerpts)	333	(21)
Photon Splitting in a Strong Magnetic Field: Recalculation and Comparison with Previous Calculations	354	(4)
C. Schubert
Quantum Electrodynamics without Photon Self-Energy Parts: An Application of the Callan-Symanzik Scaling Equations	358	(10)
W. A. Bardeen
Short-Distance Behavior of Quantum Electrodynamics and an Eigenvalue Condition for α	368	(27)
Constraints on Anomalies	395	(7)
C. G. Callan
D. J. Gross
R. Jackiw
Massless, Euclidean Quantum Electrodynamics on the 5-Dimensional Unit Hypersphere	402	(17)
Massless Electrodynamics in the One-Photon-Mode Approximation	419	(23)
Particle Phenomenology and Neutral Currents
Three-Pion States in the KL → μ+μ- Puzzle	442	(3)
G. R. Farrar
S. B. Treiman
Some Simple Vacuum-Polarization Phenomenology: e+e-→ Hadrons; the Muonic-Atom X-Ray Discrepancy and gμ-2	445	(15)
I= 1/2 Contributions to νμ + N → νμ + N + π0 in the Weinberg Weak-Interaction Model	460	(2)
Nuclear Charge-Exchange Corrections to Leptonic Pion Production in the (3,3)-Resonance Region	462	(19)
S. Nussinov
E. A. Paschos
Application of Current Algebra Techniques to Neutral-Current-Induced Threshold Pion Production	481	(4)
Application of Current-Algebra Techniques to Soft-Pion Production by the Weak Neutral Current: V, A Case	485	(22)
Renormalization Constants for Scalar, Pseudoscalar, and Tensor Currents	507	(10)
E. W. Colglazier
J. B. Healy
I. Karliner
J. Lieberman
Y. J. Ng
H.-S. Tsao
Gravitation
Trace Anomaly of the Stress-Energy Tensor for Massless Vector Particles Propagating in a General Background Metric	517	(10)
J. Lieberman
``No-Hair'' Theorems for the Abelian Higgs and Goldstone Models	527	(6)
R. B. Pearson
Order-R Vacuum Action Functional in Scalar-Free Unified Theories with Spontaneous Scale Breaking	533	(3)
A Formula for the Induced Gravitational Constant	536	(3)
Einstein Gravity as a Symmetry-Breaking Effect in Quantum Field Theory	539	(38)
Non-Abelian Monopoles, Confinement Models, and Chiral Symmetry Breaking
Appendix A, from Theory of Static Quark Forces	577	(5)
Appendix A, from Classical Quark Statics	582	(2)
Relaxation Methods for Gauge Field Equilibrium Equations	584	(25)
T. Piran; excerpts
Effective-Action Approach to Mean-Field Non-Abelian Statics, and a Model for Bag Formation	609	(11)
Flux Confinement in the Leading Logarithm Model	620	(7)
T. Piran
The Heavy Quark Static Potential in the Leading Log and the Leading Log Log Models	627	(6)
T. Piran
Quasi-Abelian versus Large-Nc Linear Confinement	633	(2)
H. Neuberger
Chiral Symmetry Breaking in Coulomb Gauge QCD	635	(23)
A. C. Davis
Gap Equation Models for Chiral Symmetry Breaking	658	(6)
Overrelaxation for Monte Carlo and Other Algorithms
Over-Relaxation Method for the Monte Carlo Evaluation of the Partition Function for Multiquadratic Actions	664	(4)
Overrelaxation Algorithms for Lattice Field Theories	668	(14)
Stochastic Algorithm Corresponding to a General Linear Iterative Process	682	(3)
Study of an Overrelaxation Method for Gauge Theories	685	(4)
G. V. Bhanot
Algorithms for Pure Gauge Theory	689	(10)
General Theory of Image Normalization (excerpt)	699	(4)
Similarity and Affine Normalization of Partially Occluded Planar Curves Using First and Second Derivatives	703	(6)
R. Krishnan
Quaternionic Quantum Mechanics
Nonadiabatic Geometric Phase in Quaternionic Hilbert Space	709	(11)
J. Anandan
Coherent States in Quaternionic Quantum Mechanics	720	(10)
A. C. Millard
Projective Group Representations in Quaternionic Hilbert Space	730	(9)
A Rejoinder on Quaternionic Projective Representations	739	(5)
G. G. Emch
Vita	744
Stephen L. Adler