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Free energy and phase transition of the matrix model on a plane-wave Hadizadeh, Shirin

Abstract

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 thesis, we analyze the effect of interaction 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 also compute correction to the Hagedorn temperature to order two loops.

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