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Author:   James Glimm ,  Arthur Jaffe
Publisher:   Birkhauser Boston Inc
Imprint:   Birkhauser Boston Inc
Edition:   1985 ed.
Dimensions:   Width: 17.80cm , Height: 2.20cm , Length: 25.40cm
Weight:   2.760kg
ISBN:  

9780817632731

ISBN 10:   0817632735
Pages:   533
Publication Date:   01 January 1985
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

I Construction of P(?)2.- A ? (?4)2 quantum field theory without cutoffs: part I..- The ? (?4)2 quantum field theory without cutoffs: part II. The field operators and the approximate vacuum.- The ? (?4)2 quantum field theory without cutoffs: part III. The physical vacuum.- The Wightman axioms and particle structure in the P(?)2 quantum field model.- II Phase Cell Localization and ?34 Stability.- Positivity and self adjointness of the P(?)2 Hamiltonian.- The ? (?4)2 quantum field theory without cutoffs: part IV. Perturbations of the Hamiltonian.- Positivity of the ?34 Hamiltonian.- III Phase Transitions Exist.- Phase transitions for ?24 quantum fields.- A convergent expansion about mean field theory: part I. The expansion.- A convergent expansion about mean field theory: part II. Convergence of the expansion.- IV Phase Transitions and Critical Behavior.- Critical point dominance in quantum field models.- ?24 quantum field model in the single-phase regions: Differentiability of the mass and bounds on critical exponents.- Remark on the existence of ?44.- On the approach to the critical point.- Critical exponents and elementary particles.- V Particle Structure.- The entropy principle for vertex functions in quantum field models.- Three-particle structure of ?4 interactions and the scaling limit.- Two and three body equations in quantum field models.- Particles and scaling for lattice fields and Ising models.- The resummation of one particle lines.- VI Bounds on Coupling Constants.- Absolute bounds on vertices and couplings.- The coupling constant in a ?4 field theory.- VII Confinement and Instantons.- Instantons in a U(1) lattice gauge theory: A coulomb dipole gas.- Charges, vortices and confinement.- VIII Reflection Positivity.- A note on reflection positivity.

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