Monte Carlo studies of the GWW phase transition in large-N gauge theories

被引：15

作者：

Azuma, Takehiro ^{[1
]}

Basu, Pallab ^{[1
]}

Wadia, Spenta R. ^{[1
]}

机构：

[1] Tata Inst Fundamental Res, Dept Theoret Phys, Bombay 400005, Maharashtra, India

来源：

PHYSICS LETTERS B | 2008年 / 659卷 / 03期

关键词：

D O I：

10.1016/j.physletb.2007.11.088

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In the study of the small ten-dimensional Schwarzschild black hole, the black hole to string transition is an important problem. In [L. Alvarez-Gaume, P. Basu, M. Marino, S.R. Wadia, Eur. Phys. J. C 48 (2006) 647 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 Letter, 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 [L. Alvarez-Gaume, P. Basu, M. Marino, S.R. Wadia, Eur. Phys. J. C 48 (2006) 647, hep-th/0605041]. We also discuss the issue of SO(6) R-symmetry breaking. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：676 / 682

页数：7

共 35 条

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