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Quantum Field Theory and Statistical Mechanics - Expositions (Paperback, 1985 ed.)
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Quantum Field Theory and Statistical Mechanics - Expositions (Paperback, 1985 ed.)
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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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