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Collected Papers - Constructive Quantum Field Theory Selected Papers (Paperback, 1985 ed.)
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Collected Papers - Constructive Quantum Field Theory Selected Papers (Paperback, 1985 ed.)
Series: Contemporary Physicists
Expected to ship within 10 - 15 working days
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Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . 325 Critical
point dominance in quantum field models. . . . . . . . . . . . . .
. . . . . . 326 q>/ quantum field model in the single-phase
regions: Differentiability of the mass and bounds on critical
exponents. . . . 341 Remark on the existence of q>. ' . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 345
On the approach to the critical point . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . 348 Critical exponents and
elementary particles. . . . . . . . . . . . . . . . . . . . . . . .
. . 362 V Particle Structure Introduction. . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . 371 Bibliography . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
371 The entropy principle for vertex functions in quantum field
models . . . . . 372 Three-particle structure of q>4
interactions and the scaling limit . . . . . . . . . 397 Two and
three body equations in quantum field models . . . . . . . . . . .
. . . . 409 Particles and scaling for lattice fields and Ising
models. . . . . . . . . . . . . . . . 437 The resummation of one
particle lines. . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . 450 VI Bounds on Coupling Constants Introduction. . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . 479 Bibliography . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . 479 Absolute bounds on vertices and couplings . . . . .
. . . . . . . . . . . . . . . . . . . . . 480 The coupling constant
in a q>4 field theory. . . . . . . . . . . . . . . . . . . . . .
. . . . . 491 VII Confinement and Instantons Introduction. . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . 497 Bibliography . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . 497 Instantons in a U(I) lattice gauge theory: A
coulomb dipole gas. . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . 498 Charges, vortices and confinement.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
516 vi VIII Reflection Positivity Introduction. . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . 531 Bibliography . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. 531 A note on reflection positivity . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . 532 vii Collected
Papers - Volume 1 Introduction. . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
1 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . 5 I Inimite
Reoormalization of the Hamiltonian Is Necessary 9 II Quantum Field
Theory Models: Part I. The cp~ Model 13 Introduction. . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . 13 Fock space. . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . 17 Qspace. . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
The Hamiltonian H(g). . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . 39 Removing the space
cutoff. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . 50 Lorentz covariance and the Haag-Kastler
axioms. . . . . . . . . . . . . . . . . . . . . . 61 Part II. The
Yukawa Model 71 Preliminaries . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
72 First and second order estimates. . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . 86 Resolvent convergence
and self adjointness . . . . . . . . . . . . . . . . . . . . . . .
. . . . 98 The Heisenberg picture. . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . .
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