Constructive Physics Results in Field Theory, Statistical Mechanics and Condensed Matter Physics: Proceedings of the Conference Held at Ecole Polytechnique, Palaiseau, France 25–27 July 1994

✍ Scribed by Edward Witten (auth.), Vincent Rivasseau (eds.)

• Publisher: Springer Berlin Heidelberg
• Year: 1995
• Tongue: English
• Leaves: 327
• Series: Lecture Notes in Physics 446
• Category: Library

✦ Table of Contents

Some questions for constructive field theorists....Pages 1-5
Trees, forests and jungles: A botanical garden for cluster expansions....Pages 7-36
Weak perturbations of the massless Gaussian measure....Pages 37-49
On renormalization group flows and polymer algebras....Pages 51-81
Renormalizing partial differential equations....Pages 83-115
Supersymmetric quantum field theory....Pages 117-130
Equivalence of the Euclidean and Wightman field theories....Pages 131-148
Construction of the gross-neveu model in dimension 3....Pages 149-159
Mass generation in a one-dimensional fermi model....Pages 161-167
Mass generation in the large N Gross-Neveu model....Pages 169-186
U (1) gauge theory on a torus....Pages 187-200
A low temperature expansion and “spin wave picture” for classical N -vector models....Pages 201-218
Renormalization group approach to zero temperature bose condensation....Pages 219-247
Random and interacting surfaces....Pages 249-265
Fermi liquids in two-space dimensions....Pages 267-299
The self-avoiding walk in four dimensions....Pages 301-309
Charge correlations for the two-dimensional Coulomb gas....Pages 311-326
Weakly self-avoiding polymers in four dimensions....Pages 327-337

✦ Subjects

Quantum Physics; Quantum Computing, Information and Physics; Thermodynamics; Statistical Physics; Differential Geometry; Algebraic Geometry