Lee-Yang zeros in lattice QCD for searching phase transition points
Abstract
We report Lee-Yang zeros behavior at finite temperature and density. The quark number densities, <n>, are calculated at the pure imaginary chemical potential, where no sign problem occurs. Then, the canonical partition functions, Z_C(n,T,V), up to some maximal values of n are estimated through fitting theoretically motivated functions to <n>, which are used to compute the Lee-Yang zeros. We study the temperature dependence of the distributions of the Lee-Yang zeros around the pseudo-critical temperature region T/T_c = 0.84 - 1.35. In the distributions of the Lee-Yang zeros, we observe the Roberge-Weiss phase transition at T/T_c >= 1.20. We discuss the dependence of the behaviors of Lee-Yang zeros on the maximal value of n, so that we can estimate a reliable infinite volume limit.
Keywords
Cite
@article{arxiv.1802.02014,
title = {Lee-Yang zeros in lattice QCD for searching phase transition points},
author = {M. Wakayama and V. G. Bornyakov and D. L. Boyda and V. A. Goy and H. Iida and A. V. Molochkov and A. Nakamura and V. I. Zakharov},
journal= {arXiv preprint arXiv:1802.02014},
year = {2019}
}
Comments
8 pages, 8 figures and 2 tables