Monte Carlo Studies of the GWW Phase Transition in Large-N Gauge Theories

Details Monte Carlo Studies of the GWW Phase Transition in Large-N Gauge Theories Monte Carlo Studies of the GWW Phase Transition in Large-N Gauge Theories

2007-10-31

arxiv.org/abs/0710.5873v4

Phys.Lett.B659:676-682,2008

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 7 figures, eq. (3.10) corrected (v3), reference added (v4)

Scientific paper

10.1016/j.physletb.2007.11.088

In the study of the small ten-dimensional Schwarzschild blackhole, the blackhole to string transition is an important problem. In hep-th/0605041, a possible identification is made between the Gross-Witten-Wadia (GWW) type third-order large-N phase transition in the boundary gauge theory and the string-black hole transition in the bulk. In this paper, we exhibit the existence of the GWW transition by Monte Carlo simulation in the zero mode bosonic action of the finite-temperature N=4 SYM theory on S^3. Exhibiting this transition in the truncated but highly non-trivial gauge theory implies that in the vicinity of the critical temperature T_c, the system goes critical, and the fluctuations give rise to universal formulas derived in hep-th/0605041 We also discuss the issue of SO(6) R-symmetry breaking.

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