Quantum Field Theory and Statistical Mechanics

This volume contains a selection of expository articles on quantum field theory and statistical mechanics by James Glimm and Arthur Jaffe.

Quantum Field Theory and Statistical Mechanics

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.

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Quantum Field Theory and Statistical Mechanics
Language: en
Pages: 418
Authors: James Glimm, Arthur Jaffe
Categories: Science
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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
Collected Papers Vol.1: Quantum Field Theory and Statistical Mechanics
Language: en
Pages: 418
Authors: James Glimm, Arthur Jaffe
Categories: Science
Type: BOOK - Published: 1985-01-01 - Publisher: Springer Science & Business Media

Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
New Developments in Quantum Field Theory and Statistical Mechanics Cargèse 1976
Language: en
Pages: 473
Authors: M. Levy
Categories: Science
Type: BOOK - Published: 2013-06-29 - Publisher: Springer Science & Business Media

The 1976 Cargese Summer Institute was devoted to the study of certain exciting developments in quantum field theory and critical phenomena. Its genesis occurred in 1974 as an outgrowth of many scientific discussions amongst the undersigned, who decided to form a scientific committee for the organization of the school. On
Recent Progress In Statistical Mechanics And Quantum Field Theory
Language: en
Pages: 344
Authors: H Saleur, Peter Bouwknegt
Categories: Science
Type: BOOK - Published: 1995-08-31 - Publisher: World Scientific

The following topics were covered: the study of renormalization group flows between field theories using the methods of quantum integrability, S-matrix theory and the thermodynamic Bethe Ansatz; impurity problems approached both from the point of view of conformal field theory and quantum integrability. This includes the Kondo effect and quantum
Statistical Mechanics and Quantum Field Theory
Language: en
Pages: 552
Authors: Cécile de Witt
Categories: Science
Type: BOOK - Published: 1971 - Publisher:

Books about Statistical Mechanics and Quantum Field Theory