Quantum Field Theory and Statistical Mechanics Expositions

Quantum Field Theory and Statistical Mechanics Expositions / by James Glimm, Arthur Jaffe.

This volume contains a selection of expository articles on quantum field theory and statistical mechanics by James Glimm and Arthur Jaffe. They include a solution of the original interacting quantum field equations and a description of the physics which these equations contain. Quantum fields were p...

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Bibliographic Details
Main Authors: Glimm, James (Author), Jaffe, Arthur (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 1985.
Edition:1st ed. 1985.
Series:Springer eBook Collection.
Subjects:
Quantum physics.
Statistical physics.
Dynamical systems.
Algebra.
Field theory (Physics).
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • I Infinite Renormalization of the Hamiltonian Is Necessary
  • II Quantum Field Theory Models
  • I. The ?22n Model
  • II. The Yukawa Model
  • III Boson Quantum Field Models
  • I. General Results
  • II. The Solution of Two-Dimensional Boson Models
  • IV Boson Quantum Field Models
  • III. Further Developments
  • V The Particle Structure of the Weakly Coupled P(?)2 Model and Other Applications of High Temperature Expansions
  • I. Physics of Quantum Field Models
  • VI The Particle Structure of the Weakly Coupled P(?)2 Model and Other Applications of High Temperature Expansions
  • II. The Cluster Expansion
  • VII Particles and Bound States and Progess Toward Unitarity and Scaling
  • VIII Critical Problems in Quantum Fields
  • IX Existence of Phase Transitions for ?24 Quantum Fields
  • X Critical Exponents and Renormalization in the ?4 Scaling Limit
  • Formulation of the problem
  • The scaling and critical point limits
  • Renormalization of the ?2(x) field
  • Existence of the scaling limit
  • The Josephson inequality
  • XI A Tutorial Course in Constructive Field Theory
  • e?tH as a functional integral
  • Examples
  • Applications of the functional integral representation
  • Ising, Gaussian and scaling limits
  • Main results
  • Correlation inequalities
  • Absence of even bound states
  • Bound on g
  • Bound on dm2/d? and particles
  • The conjecture ?(6) ? 0
  • Cluster expansions
  • The region of convergence
  • The zeroth order expansion
  • The primitive expansion
  • Factorization and partial resummation
  • Typical applications.

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