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Collected papers / 1 Quantum field theory and statistical mechanics, expositions.

Author: James Glimm; Arthur Jaffe
Publisher: Boston u.a. : Birkhäuser, 1985.
Series: Contemporary physicists
Edition/Format:   Print book
Summary:

Bibliography . . . . . . . . . . . . . . . . . . . . . . * . * . * . * . * . * . 345 On the approach to the critical point . 371 Bibliography . 372 Three-particle structure of q>4 interactions and  Read more...

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Document Type: Book
All Authors / Contributors: James Glimm; Arthur Jaffe
ISBN: 3764332719 9783764332716 0817632735 9780817632731 3764332735 9783764332730 0817632719 9780817632717 9781461254171 1461254175
OCLC Number: 159842140
Description: x, x, 418 Seiten : Illustrationen.
Contents: Collected Papers - Volume 1.- I Infinite Renormalization of the Hamiltonian Is Necessary.- II Quantum Field Theory Models: Part I. The ?22n Model.- Fock space.- Q space.- The Hamiltonian H (g).- Removing the space cutoff.- Lorentz covariance and the Haag-Kastler axioms.- II. The Yukawa Model.- Preliminaries.- First and second order estimates.- Resolvent convergence and self adjointness.- The Heisenberg picture.- III Boson Quantum Field Models: Part I. General Results.- Hermite operators.- Gaussian measures and the Schroedinger representation.- Hermite expansions and Fock space.- II. The Solution of Two-Dimensional Boson Models.- The interaction Hamiltonian.- The free Hamiltonian.- Self-adjointness of H (g).- The local algebras and the Lorentz group automorphisms.- IV Boson Quantum Field Models: Part III. Further Developments.- Locally normal representations of the observables.- The construction of the physical vaccum.- Formal perturbation theory and models in three space-time dimensions.- V The Particle Structure of the Weakly Coupled P(?)2 Model and Other Applications of High Temperature Expansions: Part I. Physics of Quantum Field Models.- Five years of models.- From estimates to physics.- Bound states and resonances.- Phase space localization and renormalization.- VI The Particle Structure of the Weakly Coupled P(?)2 Model and Other Applications of High Temperature Expansions: Part II. The Cluster Expansion.- The main results.- The cluster expansion.- Clustering and analyticity: proof of the main results.- Convergence: the main ideas.- An equation of Kirkwood-Salsburg type.- Covariance operators.- Derivatives of covariance operators.- Gaussian integrals.- Convergence: the proof completed.- VII Particles and Bound States and Progess Toward Unitarity and Scaling.- VIII Critical Problems in Quantum Fields.- IX Existence of Phase Transitions for ?24 Quantum Fields.- X Critical Exponents and Renormalization in the ?4 Scaling Limit.- Formulation of the problem.- The scaling and critical point limits.- Renormalization of the ?2(x) field.- Existence of the scaling limit.- The Josephson inequality.- XI A Tutorial Course in Constructive Field Theory.- e-tH as a functional integral.- Examples.- Applications of the functional integral representation.- Ising, Gaussian and scaling limits.- Main results.- Correlation inequalities.- Absence of even bound states.- Bound on g.- Bound on dm2/d? and particles.- The conjecture ?(6) ? 0.- Cluster expansions.- The region of convergence.- The zeroth order expansion.- The primitive expansion.- Factorization and partial resummation.- Typical applications.
Series Title: Contemporary physicists
Responsibility: James Glimm ; Arthur Jaffe.

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