Title: Quantum physics :
Authors: Glimm, James.; Jaffe, Arthur,
Date: 1987
Publisher: Springer-Verlag,
Physical description: xxii, 535 pages : illustrations ; 25 cm
Language: English
LC class: Q
Abstract: 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 of the existence theorem in 2 dimensions and describes many properties of the solutions.
Contents: Contents: An Introduction to Modern Physics: Quantum Theory -- Classical Statistical Physics -- The Feynman-Kac Formula -- Correlation Inequalities and the Lee-Yang Theorem -- Phase transitions and Critical Points. Field Theory -- Appendix to Part 1: Hilbert Space Operators and Function Space Integrals -- Function Space Integrals: Covariance Operator = Green's Function = Resolvent Kernel = Euclidean Propagator = Fundamental Solution -- Quantization = Integration over Function Space. - Calculus and Renormalization on Function Space -- Estimates Independent of Dimension -- Fields Without Cutoffs -- Regularity and Axioms. The Physics of Quantum Fields: Scattering Theory: Time-Dependent Methods -- Scattering Theory: Time-Independent Methods. The Magnetic Moment of the Electron. Phase Transition -- The U4 Critical Point -- The Cluster Expansion -- From Path Integrals to Quantum Mechanics -- The Polymer Expansion -- Random Walk Expansions -- Constructive Gauge Theory and Phase Cell Localization -- Other Directions -- Bibliography -- Index.
Notes: Includes index.