Correlations among discontinuities in QCD phase diagram
Abstract
We show, in general, that when a discontinuity of either zeroth-order or first-order takes place in an order parameter such as the chiral condensate, discontinuities of the same order emerge in other order parameters such as the Polyakov loop. A condition for the coexistence theorem to be valid is clarified. Consequently, only when the condition breaks down, zeroth-order and first-order discontinuities can coexist on a phase boundary. We show with the Polyakov-loop extended Nambu--Jona-Lasinio model that such a type of coexistence is realized in the imaginary chemical potential region of the QCD phase diagram. We also present examples of coexistence of the same-order discontinuities in the real chemical potential region.
Cite
@article{arxiv.0804.3557,
title = {Correlations among discontinuities in QCD phase diagram},
author = {Kouji Kashiwa and Yuji Sakai and Hiroaki Kouno and Masayuki Matsuzaki and Masanobu Yahiro},
journal= {arXiv preprint arXiv:0804.3557},
year = {2009}
}
Comments
17 pages, 7 figures, version accepted for publication in J. Phys. G