Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-08-11
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.
Aharony Ofer
Marsano Joseph
Minwalla Shiraz
Papadodimas Kyriakos
Raamsdonk Mark Van
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