Abstract
Schwinger-Dyson equations are used to study the largeN limit ofU(N) gauge theory on several small lattices. Explicit solutions are found which are beyond the reach of existing steepest descent technique. They show a phase transition in a three placquette model at couplingg 2 N=3, resembling the known transition in the one placquette model, and lending support to expectations of a similar transition in the four dimensional lattice theory.
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Communicated by A. Jaffe
This work was supported in part by the High Energy Physics Division of the U.S. Department of Energy under contract No. W-7495-ENG-48
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Friedan, D. Some nonabelian toy models in the largeN limit. Commun.Math. Phys. 78, 353–362 (1981). https://doi.org/10.1007/BF01942328
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DOI: https://doi.org/10.1007/BF01942328