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

Akio Tomiya,Swagato Mukherjee,Heng-Tong Ding,Xiao-Dan Wang,Christian Schmidt

doi:10.1051/epjconf/201817507041

Akio Tomiya, Swagato Mukherjee + Show 3 more

Open Access

https://doi.org/10.1051/epjconf/201817507041

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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 Nσ = 16 and 24 and a fixed temporal size Nτ = 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.

Highlights

A strong magnetic field is expected to be produced in the early stage of the peripheral heavy ion collisions [1]
In the simulation with standard staggered fermions the root-mean-square pion mass is much larger than the physical pion mass and this could be a cause of the observation of magnetic catalysis [7]
The critical temperature for the chiral phase transition is determined by the susceptibility of chiral condensates in the light mass regime

Summary

Introduction

A strong magnetic field is expected to be produced in the early stage of the peripheral heavy ion collisions [1]. QCD phase structure with magnetic field has been intensively studied on the lattice [2]. That employed fourth rooted standard staggered fermions with N f = 2 found that the critical temperature Tc increases as a function of magnitude of the magnetic field B and the

Results

Conclusion