On the Dyson-schwinger Equations Approach to the Large Limit: Model Systems and String Representation of {Yang-Mills} Theory
Nov, 198029 pages
Published in:
- Phys.Rev.D 24 (1981) 970
Report number:
- EFI-80/47-CHICAGO
Citations per year
Abstract: (APS)
Simple model systems like the O(N) σ model, the Gross-Neveu model, and the random matrix model are solved at N→∞ using Dyson-Schwinger equations and the fact that the Hartree-Fock approximation is exact at N→∞. The complete string equations of the U(∞) 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.- sigma model: nonlinear
- symmetry: O(N)
- Gross-Neveu model
- matrix model: random
- expansion 1/N
- Dyson-Schwinger equation
- Hartree-Fock approximation
- gauge field theory: U(N)
- lattice field theory
- Wilson loop
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