Two-color QCD with staggered fermions at finite temperature under the influence of a magnetic field

Abstract

In this paper we investigate the influence of a constant external magnetic field on the finite-temperature phase structure and the chiral properties of a simplified lattice model for QCD. We assume an SU(2) gauge symmetry and employ dynamical staggered fermions of identical mass without rooting, corresponding to Nf=4 flavors of identical electric charge. For fixed mass (given in lattice units) the critical temperature is seen to rise with the magnetic field strength. For three fixed beta-values, selected such that we stay (i) within the chirally broken phase, (ii) within the transition region or (iii) within the chirally restored phase, we study the approach to the chiral limit for various values of the magnetic field. Within the chirally broken (confinement) phase the chiral condensate is found to increase monotonically with a growing magnetic field strength. In the chiral limit the increase starts linear in agreement with a chiral model studied by Shushpanov and Smilga. Within the chirally restored (deconfinement) phase the chiral condensate tends to zero in the chiral limit, irrespective of the strength of the magnetic field.

15 pages, 12 figures; version accepted by Physical Review D

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• Chiral Properties of Strong Interactions in a Magnetic Background
• Quark-hadron phase transition in a magnetic field
• External Fields and Chiral Symmetry Breaking in the Sakai-Sugimoto Model
• Charge Fluctuations from the Chiral Magnetic Effect in Nuclear Collisions
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• $\rho$ mesons in strong abelian magnetic field in SU(3) lattice gauge theory
• Susceptibility of the QCD vacuum to CP-odd electromagnetic background fields
• Thermodynamics of strong-interaction matter from Lattice QCD
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• Deformed QCD phase structure and entropy oscillation in the presence of a magnetic background
• Thermodynamic properties of QCD in external magnetic fields
• QCD in magnetic fields: from Hofstadter's butterfly to the phase diagram
• Low-energy relation for the trace of the energy-momentum tensor in QCD and the gluon condensate in a magnetic field
• Background field and time dependence effects in holographic models