With a modified chemical potential dependent effective model for the gluon propagator, we try to locate the critical end point (CEP) of strongly interacting matter in the framework of Dyson-Schwinger equations (DSE). Beyond the chiral limit, we find that Nambu solution and Wigner solution could coexist in some area. Using the CornwallJackiw-Tomboulis (CJT) effective action, we show that these two phases are connected by a first order phase transition. We then locate CEP as the end point of the first order phase transition line. Meanwhile, based on CJT effective action, we give a direct calculation for the chiral susceptibility and thereby study the crossover.
@article{arxiv.1403.3797,
title = {Locate QCD Critical End Point in a Continuum Model Study},
author = {Chao Shi and Yong-Long Wang and Yu Jiang and Zhu-Fang Cui and Hong-Shi Zong},
journal= {arXiv preprint arXiv:1403.3797},
year = {2014}
}