Two-color QCD in a strong magnetic field: The role of the Polyakov loop

Abstract

We study two-color QCD in an external magnetic backround at finite temperature using the Polyakov-loop extended two-flavor two-color NJL model. At T=0, the chiral condensate is calculated and it is found to increase as a function of the magnetic field $B$. In the chiral limit the deconfinement transition lies below the chiral transition for nonzero magnetic fields $B$. At the physical point, the two transitions seem to coincide for field strengths up to $|qB|\approx 5m_{\pi }^2$ whereafter they split. The splitting between the two increases as a function of $B$ in both the chiral limit and at the physical point. In the range from zero magnetic field and $|qB|=20m_{\pi }^2$, the transition temperature for the chiral transition increases by approximately 35 MeV, while the transition temperature for deconfinement is essentially constant.

11 pages and 8 figures. v2 matches published version in PRD

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• Magnetic catalysis (and inverse catalysis) at finite temperature in two-color lattice QCD
• Chiral dynamics in a magnetic field from the functional renormalization group
• BEC-BCS crossover in a cold and magnetized two color NJL model
• Collective modes and Kosterlitz-Thouless transition in a magnetic field in the planar Nambu--Jona-Lasino model
• Regularization of the Nambu-Jona Lasinio model under a uniform magnetic field and the role of the anomalous magnetic moments
• Effects of the anomalous magnetic moments of the quarks on the neutral pion properties within a SU(2) Nambu-Jona Lasinio model
• Chiral Perturbation Theory Analysis of the Quark Condensate in a Magnetic Field
• Critical point in the QCD phase diagram for extremely strong background magnetic fields
• Pion Pressure in a Magnetic Field
• Quark Condensate in a Weak Magnetic Field
• Speed of sound peak in two-color dense QCD: confronting effective models with lattice data