A random matrix-like model for the Polyakov loop and center symmetry

Details A random matrix-like model for the Polyakov loop and center symmetry A random matrix-like model for the Polyakov loop and center symmetry

2010-07-23

arxiv.org/abs/1007.4052v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, 3 figures

Scientific paper

We formulate a random matrix-like model for the Polyakov loop in SU(N) Yang-Mills theories. It describes a simplified dynamics in terms of eigenvalue differences. The deconfinement phase transition encoded in center symmetry breaking is reproduced including its nature being first order for SU(3) and second order for SU(2). Analytical arguments about the phases are presented and a comparison to other approaches is made.

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