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

Spenta R. Wadia
Phys. Rev. D 24, 970 – Published 15 August 1981
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Abstract

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.

  • Received 2 February 1981

DOI:https://doi.org/10.1103/PhysRevD.24.970

©1981 American Physical Society

Authors & Affiliations

Spenta R. Wadia*

  • The Enrico Fermi Institute, The University of Chicago, Chicago, Illinois 60637 and Tata Institute of Fundamental Research, Bombay, India-400005

  • *Permanent address.

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Vol. 24, Iss. 4 — 15 August 1981

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