A random matrix-like model for the Polyakov loop and center symmetry
High Energy Physics - Phenomenology
2010-07-27 v1 High Energy Physics - Lattice
High Energy Physics - Theory
Abstract
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.
Cite
@article{arxiv.1007.4052,
title = {A random matrix-like model for the Polyakov loop and center symmetry},
author = {Falk Bruckmann},
journal= {arXiv preprint arXiv:1007.4052},
year = {2010}
}
Comments
5 pages, 3 figures