Thermal N = 4 SYM theory as a 2D Coulomb gas
High Energy Physics - Theory
2008-11-26 v1
Abstract
We consider N = 4 supersymmetric Yang-Mills theory with SU(N) gauge group at large N and at finite temperature on a spatial S^3. We show that, at finite weak 't Hooft coupling, the theory is naturally described as a two dimensional Coulomb gas of complex eigenvalues of the Polyakov-Maldacena loop, valued on the cylinder. In the low temperature confined phase the eigenvalues condense onto a strip encircling the cylinder, while the high temperature deconfined phase is characterised by an ellipsoidal droplet of eigenvalues.
Keywords
Cite
@article{arxiv.hep-th/0610103,
title = {Thermal N = 4 SYM theory as a 2D Coulomb gas},
author = {Sean A. Hartnoll and S. Prem Kumar},
journal= {arXiv preprint arXiv:hep-th/0610103},
year = {2008}
}
Comments
1+10 pages. 2 figures