Random walks in N = 4 Super Yang-Mills

TL;DR

This paper models the thermal behavior of N=4 Super Yang-Mills theory using interacting random walks, calculating the partition function and non-planar corrections, and confirming known results at weak coupling.

Contribution

It introduces an effective random walk description for the SU(2) sector and computes both planar and leading non-planar contributions to the partition function.

Findings

Partition function computed in the planar limit.

Leading non-planar contributions derived.

Results agree with existing zero coupling and one-loop calculations.

Abstract

Using an effective description of the thermal partition function for SU(2) sector of N = 4 super Yang-Mills theory in terms of interacting random walks we compute the partition function in planar limit as well as give the leading non-planar contribution. The result agrees with existent approaches in what concerns the zero coupling and one-loop Hagedorn temperature computation.