Exact fuzzy sphere thermodynamics in matrix quantum mechanics

Abstract

We study thermodynamical properties of a fuzzy sphere in matrix quantum mechanics of the BFSS type including the Chern-Simons term. Various quantities are calculated to all orders in perturbation theory exploiting the one-loop saturation of the effective action in the large-N limit. The fuzzy sphere becomes unstable at sufficiently strong coupling, and the critical point is obtained explicitly as a function of the temperature. The whole phase diagram is investigated by Monte Carlo simulation. Above the critical point, we obtain perfect agreement with the all order results. In the region below the critical point, which is not accessible by perturbation theory, we observe the Hagedorn transition. In the high temperature limit our model is equivalent to a totally reduced model, and the relationship to previously known results is clarified.

22 pages, 14 figures, (v2) some typos corrected

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Cited by in corpus (7)

• Non-lattice simulation for supersymmetric gauge theories in one dimension
• Phase structure of matrix quantum mechanics at finite temperature
• Geometry in transition: A model of emergent geometry
• High temperature expansion in supersymmetric matrix quantum mechanics
• On Matrix Model Formulations of Noncommutative Yang-Mills Theories
• Monte Carlo Studies of the GWW Phase Transition in Large-N Gauge Theories
• Smearing Effect in Plane-Wave Matrix Model