Dyson-Schwinger equations approach to the large-N limit: Model systems and string representation of Yang-Mills theory

Journal Article · Sat Aug 15 00:00:00 EDT 1981 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.24.970· OSTI ID:6336498

Wadia, S R

Simple model systems like the O(N) sigma model, the Gross-Neveu model, and the random matrix model are solved at N..-->..infinity using Dyson-Schwinger equations and the fact that the Hartree-Fock approximation is exact at N..-->..infinity. The complete string equations of the U(infinity) lattice gauge theory are presented. These must include both string rearrangement and splitting. Comparison is made with the ''continuum'' equations of Makeenko and Migdal which are structurally different. The difference is ascribed to inequivalent regularization procedures in the treatment of string splitting or rearrangement at intersections.

• Research Organization: The Enrico Fermi Institute, The University of Chicago, Chicago, Illinois 60637
• OSTI ID: 6336498
• Journal Information: Phys. Rev. D; (United States), Vol. 24:4
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
YANG-MILLS THEORY
DYSON REPRESENTATION
STRING MODELS
GAUGE INVARIANCE
HARTREE-FOCK METHOD
LATTICE FIELD THEORY
QUANTUM CHROMODYNAMICS
SIGMA MODEL
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
FIELD THEORIES
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTICLE MODELS
QUANTUM FIELD THEORY
QUARK MODEL
645400* - High Energy Physics- Field Theory