Super Yang-Mills theory as a random matrix model

Super Yang-Mills theory as a random matrix model.

Yang-Mills Matrix Theory

In this thesis, we discuss bosonic and supersymmetric Yang-Mills matrix models with compact semi-simple gauge group. We begin by finding convergence properties for the models. In the supersymmetric case, we show that the partition function converges when D = 4, 6 and 10, and that correlation functions of degree k < kc = 2(D− 3) are convergent independently of the group. In the bosonic case we s...

2D Yang–Mills Theory as a Matrix String Theory

Quantization of two–dimensional Yang–Mills theory on a torus in the gauge where the field strength is diagonal leads to twisted sectors that are completely analogous to the ones that originate long string states in Matrix String Theory. If these sectors are taken into account the partition function is different from the standard one found in the literature and the invariance of the theory under...

Super Yang-Mills Theory from a Supermatrix Model

It is known that Yang-Mills theories on non-commutative space can be derived from largeN reduced models. Gauge fields in non-commutative Yang-Mills theories can be described as fluctuations of matrices expanded about an appropriate classical solution of the reduced models. We investigate a generalization of this procedure in superfield formalism. We show that we can construct a supermatrix mode...

Super Yang-Mills Theory at Finite Temperature

The AdS/CFT correspondence provides valuable constraints on the possible exact form of various physical quantities in the N = 4 super Yang-Mills theory in the large N limit. We examine the free energy as the expansions in a small as well as in a large ’t Hooft parameter λ. We argue that it is impossible to smoothly extrapolate from the weak coupling regime to the strong coupling regime, thus th...