Abstract
I present a simple matrix model for the deconfined phase of SU(N) theories at temperatures just above Tc. The model is designed to reproduce the anomaly, in particular the flatness of (e − 3p)/T2 above ∼ 1.2Tc observed by lattice simulations with up to six colors. Furthermore, it predicts the existence of an adjoint Higgs phase where the masses of diagonal and off-diagonal gluons split and that the phase transition of SU(N) with three or more colors, and for exceptional groups with a trivial center such as G(2), is generically of first order. For G(2) gauge group, a small value of the Polyakov loop at T−c can be obtained with a non-perturbative potential summed over the roots of SU(7) rather than G(2), which implements the principle of maximal eigenvalue repulsion.
Published Version
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