2005/08/31 by Ofer Aharony, Joe Marsano, Joseph Marsano +4 · 6 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1088/1126-6708/2006/01/140
published as JHEP 0601:140,2006 · harvmac, 67 pages, 21 figures. v2: minor corrections and clarifications
arxiv created 2006/01/17 · openalex publication_date 2006/01/25 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.