Four-dimensional N=1 super Yang-Mills from matrix model

Abstract

We consider a supersymmetric matrix quantum mechanics. This is obtained by adding Myers and mass terms to the dimensional reduction of 4d N=1 super Yang-Mills theory to one dimension. Using this model we construct 4d N=1 super Yang-Mills theory in the planar limit by using the Eguchi-Kawai equivalence. The same matrix quantum mechanics is also used to provide a nonperturbative formulation of 4d N=1 super Yang-Mills theory on noncommutative space.

Comments: 21 pages, 2 figures. Ver.2 : references and comments added. Ver.3 : Some corrections. Main result does not change. Ver.4 : The version accepted by PRD. Section for the absence of the sign problem is added and review part is shortened