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

Abstract

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.

arXiv comment15 pages, 7 figures, eq. (3.10) corrected (v3), reference added (v4)

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Cited by in corpus (13)

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• Nonperturbative effects and nonperturbative definitions in matrix models and topological strings
• Free Fermions and Thermal AdS/CFT
• Hagedorn Instability in Dimensionally Reduced Large-N Gauge Theories as Gregory-Laflamme and Rayleigh-Plateau Instabilities
• N=4 SYM on S^3 with Near Critical Chemical Potentials
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• Hedgehog black holes and the Polyakov loop at strong coupling
• Multiple phases and meromorphic deformations of unitary matrix models
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• Thermodynamics of Large N Gauge Theories with Chemical Potentials in a 1/D Expansion
• Phase Structure of Beta-deformed N=4 SYM on S^3 with Chemical Potentials
• Phase Transitions of a (Super) Quantum Mechanical Matrix Model with a Chemical Potential