N$_f$ = 1 QCD in External Magnetic Fields: Staggered Fermions

TL;DR

This study uses lattice QCD with staggered fermions to examine how external magnetic fields affect the thermodynamics, deconfinement, and chiral symmetry restoration in N$_f$=1 QCD, finding no dependence of critical temperatures on magnetic field strength.

Contribution

The paper introduces a lattice QCD approach with the Schrodinger functional to analyze magnetic field effects on N$_f$=1 QCD thermodynamics, providing new insights into magnetic influences on strongly interacting matter.

Findings

Deconfinement and chiral restoration temperatures are unaffected by magnetic fields.

Magnetic fields influence free energy, pressure, and the equation of state.

Method allows straightforward study of magnetic effects on QCD thermodynamics.

Abstract

We investigate N$_f$ = 1 QCD in external magnetic fields on the lattice. The background field is introduced by means of the so-called Schrodinger functional. We adopt standard staggered fermions with constant bare mass $am = 0.025$ and magnetic fields with constant magnetic flux up to $a^2 e H \simeq 2.3562$. We find that the the deconfinement and chiral symmetry restoration temperatures do not depend on the strength of the applied magnetic field. Our method allow us to easily study the effects of the external magnetic fields on the QCD thermodynamics. We determine the influences of applied magnetic fields to the free energy, pressure, and equation of state of strongly interacting matter.