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Quantum Physics : a Functional Integral Point of View /

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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.

Bibliographic Details
Main Author: Glimm, James
Corporate Author: SpringerLink (Online service)
Other Authors: Jaffé, Arthur
Format: eBook
Language:English
Published: New York, NY : Springer New York, 1987.
Edition:Second edition.
Subjects:
Physics.
Quantum theory.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of 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.