The three-dimensional, three state Potts model in a negative external field
Abstract
We investigate the critical behaviour of the three-dimensional, three state Potts model in presence of a negative external field h, i.e. disfavouring one of the three states. A genuine phase transition is present for all values of |h|, corresponding to the spontaneous breaking of a residual Z_2 symmetry. The transition is first/second order respectively for small/large values of |h|, with a tricritical field h_tric separating the two regimes. We provide, using different and consistent approaches, a precise determination of h_tric; we also compare with previous studies and discuss the relevance of our investigation to analogous studies of the QCD phase diagram in presence of an imaginary chemical potential.
Cite
@article{arxiv.1010.3639,
title = {The three-dimensional, three state Potts model in a negative external field},
author = {Claudio Bonati and Massimo D'Elia},
journal= {arXiv preprint arXiv:1010.3639},
year = {2011}
}
Comments
11 pages, 17 figures, minor corrections