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arXiv · 2412.13407

Finite-temperature phase diagram of the BMN matrix model on the lattice

Raghav G. Jha·Anosh Joseph·David Schaich
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Abstract

We investigate the thermal phase structure of the Berenstein--Maldacena--Nastase (BMN) matrix model using non-perturbative lattice Monte Carlo calculations. Our main analyses span three orders of magnitude in the coupling, involving systems with sizes up to $N_{\tau} = 24$ lattice sites and SU($N$) gauge groups with $8 \leq N \leq 16$. In addition, we carry out extended checks of discretization artifacts for $N_{\tau} \leq 128$ and gauge group SU(4). We find results for the deconfinement temperature that interpolate between the perturbative prediction at weak coupling and the large-$N$ dual supergravity calculation at strong coupling. While we confirm that the phase transition is first order for strong coupling, it appears to be continuous for weaker couplings.

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Raghav G. Jha, Anosh Joseph, David Schaich. 2024-12-18. Finite-temperature phase diagram of the BMN matrix model on the lattice. https://doi.org/10.1103/physrevd.111.094516

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