Large $N$ Solution of the 2D Supersymmetric Yang-Mills Theory

Details Large $N$ Solution of the 2D Supersymmetric Yang-Mills Theory Large $N$ Solution of the 2D Supersymmetric Yang-Mills Theory

1995-03-06

arxiv.org/abs/hep-th/9503033v1

Nucl.Phys. B446 (1995) 16-34

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 5 figures included, harvmac

Scientific paper

The Schwinger-Dyson equations of the Makeenko-Migdal type, when supplemented with some simple equations as consequence of supersymmetry, form a closed set of equations for Wilson loops and related quantities in the two dimensional super-gauge theory. We solve these equations. It appears that the planar Wilson loops are described by the Nambu string without folds. We also discuss how to put the model on a spatial lattice, where a peculiar gauge is chosen in order to keep one supersymmetry on the lattice. Supersymmetry is unbroken in this theory. We comment on possible generalization of these considerations to other models.

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