Schwinger-Dyson and Large $N_{c}$ Loop Equation for Supersymmetric Yang-Mills Theory

Details Schwinger-Dyson and Large $N_{c}$ Loop Equation for Supersymmetric Yang-Mills Theory Schwinger-Dyson and Large $N_{c}$ Loop Equation for Supersymmetric Yang-Mills Theory

1996-04-04

arxiv.org/abs/hep-th/9604023v1

Phys.Lett. B381 (1996) 163-168

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, Latex

Scientific paper

10.1016/0370-2693(96)00579-5

We derive an infinite sequence of Schwinger-Dyson equations for $N=1$ supersymmetric Yang-Mills theory. The fundamental and the only variable employed is the Wilson-loop geometrically represented in $N=1$ superspace: it organizes an infinite number of supersymmetrizing insertions into the ordinary Wilson-loop as a single entity. In the large $N_{c}$ limit, our equation becomes a closed loop equation for the one-point function of the Wilson-loop average.

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