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Collected Papers Vol.1: Quantum Field Theory and Statistical Mechanics - Expositions (Hardcover, 1985 ed.)
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Collected Papers Vol.1: Quantum Field Theory and Statistical Mechanics - Expositions (Hardcover, 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 ix VIII
Reflection Positivity Introduction. . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . 531 Bibliography . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 531 A
note on reflection positivity . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . 532 x Introduction 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.
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