Quantum Physics

by Glimm, James; Jaffe, Arthur

• ISBN13: 9780387964775
• ISBN10: 0387964770
• Edition: 2nd
• Format: Paperback
• Copyright: 1987-05-01
• Publisher: Springer Verlag

Summary

Describes fifteen years' work which has led to the construc-tion of solutions to non-linear relativistic local field e-quations in 2 and 3 space-time dimensions. Gives proof ofthe existence theorem in 2 dimensions and describes manyproperties of the solutions.

Table of Contents

Preface
Introduction
Conventions and Formulas
List of Symbols
An Introduction to Modern Physics
Quantum Theory	p. 3
Classical Statistical Mechanics	p. 28
The Feynman-Kac Formula	p. 43
Correlation Inequalities and the Lee-Yang Theorem	p. 56
Phase Transitions and Critical Points	p. 73
Field Theory	p. 90
Appendix to Part I. Hilbert Space Operators and Functional Integrals	p. 122
Function Space Integrals
Covariance Operator = Green's Function = Resolvent Kernel = Euclidean Propagator = Fundamental Solution	p. 159
Quantization = Integration over Function Space	p. 180
Calculus and Renormalization on Function Space	p. 202
Estimates Independent of Dimension	p. 229
Fields Without Cutoffs	p. 249
Regularity and Axioms	p. 255
The Physics of Quantum Fields
Scattering Theory: Time-Dependent Methods	p. 273
Scattering Theory: Time-Independent Methods	p. 292
The Magnetic Moment of the Electron	p. 306
Phase Transitions	p. 316
The [phi superscript 4] Critical Point	p. 339
The Cluster Expansion	p. 356
From Path Integrals to Quantum Mechanics	p. 379
The Polymer Expansion	p. 398
Random Path Representations	p. 419
Constructive Gauge Theory and Phase Cell Localization	p. 437
Further Directions	p. 460
Bibliography	p. 472
Index	p. 529
Table of Contents provided by Blackwell. All Rights Reserved.