The confining transition in the bosonic BMN matrix model

Abstract

We study the confining/deconfining phase transition in the mass deformed Yang-Mills matrix model which is obtained by the dimensional reduction of the bosonic sector of the four-dimensional maximally supersymmetric Yang-Mills theory compactified on the three sphere, i.e. the bosonic BMN model. The 1/D (with D the number of matrices) expansion suggests that the model may have two closely separated transitions. However, using a second order lattice formulation of the model we find that for the small value of the mass parameter, μ = 2, those two apparent critical temperatures merge at large N , leaving only a single weakly first-order phase transition, in agreement with recent numerical results for μ = 0 (the bosonic BFSS model).

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Asano, Y., Kováčik, S. & O’Connor, D. The confining transition in the bosonic BMN matrix model. J. High Energ. Phys. 2020, 174 (2020). https://doi.org/10.1007/JHEP06(2020)174

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Keywords

  • Lattice Quantum Field Theory
  • M(atrix) Theories
  • Gauge-gravity correspondence