The Phase Structure of Low Dimensional Large N Gauge Theories on Tori

Details The Phase Structure of Low Dimensional Large N Gauge Theories on Tori The Phase Structure of Low Dimensional Large N Gauge Theories on Tori

2005-08-11

arxiv.org/abs/hep-th/0508077v2

JHEP 0601:140,2006

Physics

High Energy Physics

High Energy Physics - Theory

harvmac, 67 pages, 21 figures. v2: minor corrections and clarifications

Scientific paper

10.1088/1126-6708/2006/01/140

In this paper we continue our study of the thermodynamics of large N gauge theories on compact spaces. We consider toroidal compactifications of pure SU(N) Yang-Mills theories and of maximally supersymmetric Yang-Mills theories dimensionally reduced to 0+1 or 1+1 dimensions, and generalizations of such theories where the adjoint fields are massive. We describe the phase structure of these theories as a function of the gauge coupling, the geometry of the compact space and the mass parameters. In particular, we study the behavior of order parameters associated with the holonomy of the gauge field around the cycles of the torus. Our methods combine analytic analysis, numerical Monte Carlo simulations, and (in the maximally supersymmetric case) information from the dual gravitational theories.

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