Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-10-31
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.
Azuma Takehiro
Basu Pallab
Wadia Spenta R.
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