Contents -- Preface -- Commentaries -- 1. Early Years and Condensed Matter Physics -- References for Chapter 1 -- 2. High Energy Neutrino Reactions PCAC Relations and Sum Rules -- Introduction -- Forward Lepton Theorem -- Soft Pion Theorems -- Sum Rules -- More Low Energy Theorems -- Weak Pion Production Redux -- References for Chapter 2 -- 3. Anomalies: Chiral Anomalies and Their Nonrenormalization Perturbative Corrections to Scaling and Trace Anomalies to All Orders -- Chiral Anomalies and n0 -> yy Decay -- Anomaly Nonrenormalization -- Point Splitting Calculations of the Anomaly -- The Non-Abelian Anomaly Its Nonrenormalization and Geometric Interpretation -- Perturbative Corrections to Scaling -- Trace Anomalies to All Orders -- References for Chapter 3 -- 4. Quantum Electrodynamics -- Introduction -- Strong Magnetic Field Electrodynamics: Photon Splitting and Vacuum Dielectric Constant -- The "Finite QED" Program via the Callan-Symanzik Equations -- Compactification of Massless QED and Applications -- References for Chapter 4 -- 5. Particle Phenomenology and Neutral Currents -- Introduction -- Visits to Fermilab -- Neutral Currents -- References for Chapter 5 -- 6. Gravitation -- Introduction -- First Papers -- Einstein Gravity as a Symmetry Breaking Effect -- References for Chapter 6 -- 7. Non-Abelian Monopoles Confinement Models and Chiral Symmetry Breaking -- Introduction -- Non-Abelian Monopoles -- Confinement Models -- Chiral Symmetry Breaking -- References for Chapter 7 -- 8. Overrelaxation for Monte Carlo and Other Algorithms -- Introduction -- Overrelaxation to Accelerate Monte Carlo -- Image Normalization -- References for Chapter 8 -- 9. Quaternionic Quantum Mechanics Trace Dynamics and Emergent Quantum Theory -- Introduction -- Quaternionic Quantum Mechanics.

Quaternionic Projective Group Representations -- Trace Dynamics and Emergent Quantum Theory -- References for Chapter 9 -- 10. Where Next? -- Index of Names in the Commentaries -- Reprinted Papers -- 1. Early Years and Condensed Matter Physics -- From Elements of Radio to Elementary Particle Physics -- Theory of the Valence Band Splittings at k = 0 in Zinc-Blende and Wurtzite Structures -- Quantum Theory of the Dielectric Constant in Real Solids -- 2. 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 -- Consistency Conditions on the Strong Interactions Implied by a Partially Conserved Axial-Vector Current -- Consistency Conditions on the Strong Interactions Implied by a Partially Conserved Axial-Vector Current. II -- Appendix A from "Current Algebras and Applications to Particle Physics" -- Calculation of the Axial-Vector Coupling Constant Renormalization in B Decay -- Sum Rules for the Axial-Vector Coupling-Constant Renormalization in B Decay -- Sum Rules Giving Tests of Local Current Commutation Relations in High-Energy Neutrino Reactions -- Neutrino or Electron Energy Needed for Testing Current Commutation Relations -- Low-Energy Theorem for the Weak Axial-Vector Vertex -- Partially Conserved Axial-Vector Current Restrictions on Pion Photoproduction and Electroproduction Amplitudes -- Possible Measurement of the Nucleon Axial-Vector Form Factor in Two-Pion Electroproduction Experiments -- Photo- Electro- and Weak Single-Pion Production in the (3 3) Resonance Region (excerpts).

3. Anomalies: Chiral Anomalies and Their Nonrenormalization Perturbative Corrections to Scaling and Trace Anomalies to All Orders -- Axial-Vector Vertex in Spinor Electrodynamics -- n0 Decay -- Anomalous Commutators and the Triangle Diagram -- Absence of Higher-Order Corrections in the Anomalous Axial-Vector Divergence Equation -- Low Energy Theorem for y + y-> n + n + n -- Breakdown of Asymptotic Sum Rules in Perturbation Theory -- Bjorken Limit in Perturbation Theory -- Anomalies in Ward Identities and Current Commutation Relations (excerpt) -- Energy-Momentum-Tensor Trace Anomaly in Spin-1/2 Quantum Electrodynamics -- 4. Quantum Electrodynamics -- Photon Splitting in a Strong Magnetic Field -- Photon Splitting and Photon Dispersion in a Strong Magnetic Field (excerpts) -- Photon Splitting in a Strong Magnetic Field: Recalculation and Comparison with Previous Calculations -- Quantum Electrodynamics without Photon Self-Energy Parts: An Application of the Callan-Symanzik Scaling Equations -- Short-Distance Behavior of Quantum Electrodynamics and an Eigenvalue Condition for a -- Constraints on Anomalies -- Massless Euclidean Quantum Electrodynamics on the 5-Dimensional Unit Hypersphere -- Massless Electrodynamics in the One-Photon-Mode Approximation -- 5. Particle Phenomenology and Neutral Currents -- Three-Pion States in the KL -> u+ u- Puzzle -- Some Simple Vacuum-Polarization Phenomenology: e+e- -> Hadrons -- the Muonic-Atom X-Ray Discrepancy and gu-2 -- I = 1/2 Contributions to vu + N -> vu + N + n0 in the Weinberg Weak-Interaction Model -- Nuclear Charge-Exchange Corrections to Leptonic Pion Production in the (3 3)-Resonance Region -- Application of Current Algebra Techniques to Neutral-Current-Induced Threshold Pion Production.

Application of Current-Algebra Techniques to Soft-Pion Production by the Weak Neutral Current: V A Case -- Renormalization Constants for Scalar Pseudoscalar and Tensor Currents -- 6. Gravitation -- Trace Anomaly of the Stress-Energy Tensor for Massless Vector Particles Propagating in a General Background Metric -- "No-Hair" Theorems for the Abelian Higgs and Goldstone Models -- Order-R Vacuum Action Functional in Scalar-Free Unified Theories with Spontaneous Scale Breaking -- A Formula for the Induced Gravitational Constant -- Einstein Gravity as a Symmetry-Breaking Effect in Quantum Field Theory -- 7. Non-Abelian Monopoles Confinement Models and Chiral Symmetry Breaking -- Appendix A from "Theory of Static Quark Forces" -- Appendix A from "Classical Quark Statics" -- Relaxation Methods for Gauge Field Equilibrium Equations (excerpts) -- Effective-Action Approach to Mean-Field Non-Abelian Statics and a Model for Bag Formation -- Flux Confinement in the Leading Logarithm Model -- The Heavy Quark Static Potential in the Leading Log and the Leading Log Log Models -- Quasi-Abelian versus Large-Nc Linear Confinement -- Chiral Symmetry Breaking in Coulomb Gauge QCD -- Gap Equation Models for Chiral Symmetry Breaking -- 8. Overrelaxation for Monte Carlo and Other Algorithms -- Over-Relaxation Method for the Monte Carlo Evaluation of the Partition Function for Multiquadratic Actions -- Overrelaxation Algorithms for Lattice Field Theories -- Stochastic Algorithm Corresponding to a General Linear Iterative Process -- Study of an Overrelaxation Method for Gauge Theories -- Algorithms for Pure Gauge Theory -- General Theory of Image Normalization (excerpt).

Similarity and Affine Normalization of Partially Occluded Planar Curves Using First and Second Derivatives -- 9. Quaternionic Quantum Mechanics -- Nonadiabatic Geometric Phase in Quaternionic Hilbert Space -- Coherent States in Quaternionic Quantum Mechanics -- Projective Group Representations in Quaternionic Hilbert Space -- A Rejoinder on Quaternionic Projective Representations -- Stephen L. Adler: Vita.