Monte Carlo Studies of the GWW Phase Transition in Large-N Gauge Theories
arXiv:0710.5873 · doi:10.1016/j.physletb.2007.11.088
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.
15 pages, 7 figures, eq. (3.10) corrected (v3), reference added (v4)
References in corpus (7)
- Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature
- Non-lattice simulation for supersymmetric gauge theories in one dimension
- Phase structure of matrix quantum mechanics at finite temperature
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Cited by in corpus (6)
- Black hole thermodynamics from simulations of lattice Yang-Mills theory
- Nonperturbative effects and nonperturbative definitions in matrix models and topological strings
- Free Fermions and Thermal AdS/CFT
- Warped AdS_5 Black Holes and Dual CFTs
- Hedgehog black holes and the Polyakov loop at strong coupling
- Phase Transitions of Charged Kerr-AdS Black Holes from Large-N Gauge Theories