Partial Deconfinement at Strong Coupling on the Lattice

Abstract

We provide evidence for partial deconfinement -- the deconfinement of a SU($M$) subgroup of the SU($N$) gauge group -- by using lattice Monte Carlo simulations. We take matrix models as concrete examples. By appropriately fixing the gauge, we observe that the $M\times M$ submatrices deconfine. This gives direct evidence for partial deconfinement at strong coupling. We discuss the applications to QCD and holography.

arXiv comment49 pages, 24 figures, 3 tables. Version accepted for publication on JHEP

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• Gross-Witten-Wadia Phase Transition in Induced QCD on the Graph