Free Energy and Phase Transition of the Matrix Model on a Plane-Wave

Details Free Energy and Phase Transition of the Matrix Model on a Plane-Wave Free Energy and Phase Transition of the Matrix Model on a Plane-Wave

2004-09-30

arxiv.org/abs/hep-th/0409318v2

Phys.Rev. D71 (2005) 065016

Physics

High Energy Physics

High Energy Physics - Theory

24 pages

Scientific paper

10.1103/PhysRevD.71.065016

It has recently been observed that the weakly coupled plane wave matrix model has a density of states which grows exponentially at high energy. This implies that the model has a phase transition. The transition appears to be of first order. However, its exact nature is sensitive to interactions. In this paper, we analyze the effect of interactions by computing the relevant parts of the effective potential for the Polyakov loop operator in the finite temperature plane-wave matrix model to three loop order. We show that the phase transition is indeed of first order. We also compute the correction to the Hagedorn temperature to order two loops.

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