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Non-perturbative phase structure of the bosonic BMN matrix model

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arxiv 2201.08791 v2 pith:EQBATJZS submitted 2022-01-21 hep-lat hep-th

classification hep-lathep-th
keywords modelbosonicdeformationparameterphasematrixvaluesanalyze
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abstract

We study the bosonic part of the BMN matrix model for wide ranges of temperatures, values of the deformation parameter, and numbers of colors $16 \leq N \leq 48$. Using lattice computations, we analyze phase transitions in the model, observing a single first-order transition from a uniform to a gapped phase for all values of the deformation parameter. We study the functional form of the dependence of the critical temperature on the deformation parameter, to describe how our results smoothly interpolate between the limits of the bosonic BFSS model and the gauged Gaussian model.

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

    hep-lat 2024-12 conditional novelty 6.0 of 10

    Non-perturbative lattice calculations determine the BMN deconfinement temperature from the perturbative to the holographic regime, with evidence that the transition becomes continuous at weak coupling.

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