Quantum Field Theory and Statistical Mechanics : Expositions

Arthur Jaffe

ISBN 10: 0817632751 / ISBN 13: 9780817632755

Published by Birkhäuser Boston, Birkhäuser Boston, 1985

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9780817632755

Bibliographic Details

• Title: Quantum Field Theory and Statistical Mechanics : Expositions
• Publisher: Birkhäuser Boston, Birkhäuser Boston
• Publication Date: 1985
• Language: English
• ISBN 10: 0817632751
• ISBN 13: 9780817632755
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 254W x 178H x 24D millimeters 254 millimeters width by 178 millimeters height by 24 millimeters depth
• Weight: 808 grams

About this title

Synopsis

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.