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Birkhäuser

Quantum Field Theory and Statistical Mechanics

Expositions

  • Book
  • © 1985

Overview

Authors:
  1. James Glimm

    1. Courant Institute, New York, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Arthur Jaffe

    1. Harvard University, Cambridge, USA

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    You can also search for this author in PubMed   Google Scholar

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. Introduction

    • James Glimm, Arthur Jaffe
    Pages 1-4

  3. Bibliography

    • James Glimm, Arthur Jaffe
    Pages 5-5

  4. Infinite Renormalization of the Hamiltonian Is Necessary

    • James Glimm, Arthur Jaffe
    Pages 7-10

  5. Quantum Field Theory Models

    • James Glimm, Arthur Jaffe
    Pages 11-121

  6. Boson Quantum Field Models

    • J. Glimm, A. Jaffe
    Pages 123-179

  7. Boson Quantum Field Models

    • James Glimm, Arthur Jaffe
    Pages 181-199

  8. The Particle Structure of the Weakly Coupled P(φ)2 Model and Other Applications of High Temperature Expansions

    • James Glimm, Arthur Jaffe, Thomas Spencer
    Pages 201-269

  9. The Particle Structure of the Weakly Coupled P(φ)2 Model and Other Applications of High Temperature Expansions

    • James Glimm, Arthur Jaffe, Thomas Spencer
    Pages 271-316

  10. Particles and Bound States and Progress Toward Unitarity and Scaling

    • James Glimm, Arthur Jaffe
    Pages 317-328

  11. Critical Problems in Quantum Fields

    • James Glimm, Arthur Jaffe
    Pages 329-347

  12. Existence of Phase Transitions for φ 2 4 Quantum Fields

    • James Glimm, Arthur Jaffe, Thomas Spencer
    Pages 349-360

  13. X Critical Exponents and Renormalization in the φ4 Scaling Limit

    • J. Glimm, A. Jaffe
    Pages 361-382

  14. A Tutorial Course in Constructive Field Theory

    • James Glimm, Arthur Jaffe
    Pages 383-418
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Keywords

About this book

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 proposed in the late 1920s as the natural framework which combines quantum theory with relativ­ ity. They have survived ever since. The mathematical description for quantum theory starts with a Hilbert space H of state vectors. Quantum fields are linear operators on this space, which satisfy nonlinear wave equations of fundamental physics, including coupled Dirac, Max­ well and Yang-Mills equations. The field operators are restricted to satisfy a "locality" requirement that they commute (or anti-commute in the case of fer­ mions) at space-like separated points. This condition is compatible with finite propagation speed, and hence with special relativity. Asymptotically, these fields converge for large time to linear fields describing free particles. Using these ideas a scattering theory had been developed, based on the existence of local quantum fields.

Authors and Affiliations

  • Courant Institute, New York, USA

    James Glimm

  • Harvard University, Cambridge, USA

    Arthur Jaffe

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