The nonperturbative phase diagram of the bosonic BMN matrix model

2020/04/13 by Samuel Kováčik, Kováčik, Samuel, Denjoe O’Connor +3 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2004.05820

Abstract

We study the thermal phase transition of the bosonic BMN model which is a mass deformed version of the bosonic part of the BFSS model. Our results connect the massless region of the phase diagram described by the bosonic BFSS model with the large-mass region, where the model is analytically solvable. We observe that at finite value of the matrix size N, the critical region is smeared over a small temperature range. The model has a single critical temperature, which arises as the large N limit of two apparent transitions at finite N. We emphasise the vital role played by finite N corrections in the confined phase and illustrate this with a novel treatment of the noninteracting Gaussian model.

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