The phase structure of low dimensional large N gauge theories on tori

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Published 25 January 2006 • Published under licence by IOP Publishing Ltd
, , Citation Ofer Aharony et al JHEP01(2006)140 DOI 10.1088/1126-6708/2006/01/140

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Author affiliations

1 Department of Particle Physics, Weizmann Institute of Science, Rehovot 76100, Israel

2 Jefferson Physical Laboratory, Harvard University, Cambridge, MA 02138, U.S.A.

3 Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Rd, Mumbai 400005, India

4 Department of Physics and Astronomy, University of British Columbia, Vancouver, BC, V6T 1Z1, Canada

Dates

  1. Received 3 November 2005
  2. Accepted 12 January 2006
  3. Published

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1126-6708/2006/01/140

Abstract

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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10.1088/1126-6708/2006/01/140