Thermodynamics of Fuzzy Spheres in PP-wave Matrix Model

Details Thermodynamics of Fuzzy Spheres in PP-wave Matrix Model Thermodynamics of Fuzzy Spheres in PP-wave Matrix Model

2004-01-05

arxiv.org/abs/hep-th/0401014v1

Nucl.Phys. B701 (2004) 380-394

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 4 figures, LaTeX2e

Scientific paper

10.1016/j.nuclphysb.2004.09.002

We discuss thermodynamics of fuzzy spheres in a matrix model on a pp-wave background. The exact free energy in the fuzzy sphere vacuum is computed in the \mu -> \infty limit for an arbitrary matrix size N. The trivial vacuum dominates the fuzzy sphere vacuum at low temperature while the fuzzy sphere vacuum is more stable than the trivial vacuum at sufficiently high temperature. Our result supports that the fluctuations around the trivial vacuum would condense to form an irreducible fuzzy sphere above a certain temperature.

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