Chiral phase transition of three flavor QCD with nonzero magnetic field using standard staggered fermions

¹ Key Laboratory of Quark & Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, China
² Department of Physics, Brookhaven National Laboratory, Upton, New York 11973-5000
³ Fakultät für Physik, Universität Bielefeld, D-33615 Bielefeld, Germany

^* Speaker, e-mail: akio.tomiya@mail.ccnu.edu.cn

Published online: 26 March 2018

Abstract

Lattice simulations for (2+1)-flavor QCD with external magnetic field demon-strated that the quark mass is one of the important parameters responsible for the (inverse) magnetic catalysis. We discuss the dependences of chiral condensates and susceptibilities, the Polyakov loop on the magnetic field and quark mass in three degenerate flavor QCD. The lattice simulations are performed using standard staggered fermions and the plaquette action with spatial sizes N_σ = 16 and 24 and a fixed temporal size N_τ = 4. The value of the quark masses are chosen such that the system undergoes a first order chiral phase transition and crossover with zero magnetic field. We find that in light mass regime, the quark chiral condensate undergoes magnetic catalysis in the whole temperature region and the phase transition tend to become stronger as the magnetic field increases. In crossover regime, deconfinement transition temperature is shifted by the magnetic field when quark mass ma is less than 0:4. The lattice cutoff effects are also discussed.