Azuma, Takehiro ; Basu, Pallab ; Wadia, Spenta R. (2008) Monte Carlo studies of the GWW phase transition in large-N gauge theories Physics Letters B, 659 (3). pp. 676-682. ISSN 0370-2693
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/j.physletb.2007.11.088
Abstract
In the study of the small ten-dimensional Schwarzschild black hole, the black hole to string transition is an important problem. In [L. Alvarez-Gaumé, 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 S3. Exhibiting this transition in the truncated but highly non-trivial gauge theory implies that in the vicinity of the critical temperature Tc, the system goes critical, and the fluctuations give rise to universal formulas derived in [L. Alvarez-Gaumé, 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.
Item Type: | Article |
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Source: | Copyright of this article belongs to Elsevier Science. |
ID Code: | 54844 |
Deposited On: | 17 Aug 2011 11:50 |
Last Modified: | 18 May 2016 07:20 |
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