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Titlebook: Quantum Field Theory and Statistical Mechanics; Expositions James Glimm,Arthur Jaffe Book 1985 Birkhäuser Boston Inc. 1985 algebra.automorp

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书目名称Quantum Field Theory and Statistical Mechanics
副标题Expositions
编辑James Glimm,Arthur Jaffe
视频video
图书封面Titlebook: Quantum Field Theory and Statistical Mechanics; Expositions James Glimm,Arthur Jaffe Book 1985 Birkhäuser Boston Inc. 1985 algebra.automorp
描述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.
出版日期Book 1985
关键词algebra; automorphism; field; field theory; mechanics; perturbation theory; quantum field; quantum field th
版次1
doihttps://doi.org/10.1007/978-1-4612-5158-3
isbn_softcover978-0-8176-3275-5
isbn_ebook978-1-4612-5158-3
copyrightBirkhäuser Boston Inc. 1985
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Infinite Renormalization of the Hamiltonian Is Necessary,We show that the unrenormalized Hamiltonian in quantum field theory is unbounded from below whenever lowest-order perturbation theory indicates that this is true. We conclude that perturbation theory is an accurate guide to the divergence of the vacuum energy in quantum field theory.
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Critical Problems in Quantum Fields,Les liaisons entre le problème de la construction des champs quantiques non triviaux à quatre dimensions et le problème du comportement au point critique à quatre dimensions sont expliqués.
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,Existence of Phase Transitions for φ 2 4 Quantum Fields,L’existence des transitions de phase pour les champs quantiques λ φ. dans la région λ>>1 de couplage nu est établie. La brisure de symétrie pour l’interaction . est aussi démontrée. On fait la distinction entre les transitions de phase et la brisure de symétrie.
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