Strong magnetic fields in nonlocal chiral quark models

Abstract

We study the behavior of strongly interacting matter under a uniform intense external magnetic field in the context of nonlocal extensions of the Polyakov-Nambu-Jona-Lasinio model. A detailed description of the formalism is presented, considering the cases of zero and finite temperature. In particular, we analyze the effect of the magnetic field on the chiral restoration and deconfinement transitions, which are found to occur at approximately the same critical temperatures. Our results show that these models offer a natural framework to account for the phenomenon of inverse magnetic catalysis found in lattice QCD calculations.

arXiv comment34 pages, 4 figures. Minor changes in text, references added. Version published in Physical Review D

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• Phase transitions in neutron stars and their links to gravitational waves
• Neutral meson properties under an external magnetic field in nonlocal chiral quark models
• Inverse magnetic catalysis -- how much do we know about?
• Effects of Hadron-Quark Phase Transitions in Hybrid Stars within the NJL Model
• Light pseudo-scalar meson masses under strong magnetic fields within the SU(3) Nambu-Jona-Lasinio model
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• Properties of magnetized neutral pions at zero and finite temperature in nonlocal chiral quark models
• Studying explicit $U(1{)}_A$ symmetry breaking in hot and magnetised two flavour non-local NJL model constrained using lattice results
• Masses of magnetized pseudoscalar and vector mesons in an extended NJL model: the role of axial vector mesons
• Critical chiral hypersurface of the magnetized NJL model
• QCD phase diagram in the $T-eB$ plane for varying pion mass
• The role of $U(1{)}_A$ symmetry breaking in the QCD corrections to the pion mass difference
• Thermomagnetic effects on light pseudo-scalar meson masses within the SU(3) Nambu-Jona--Lasinio model
• Thermal Field Theory in the Presence of a Background Magnetic Field and its Application to QCD
• Quark matter phase diagram under the influence of strong magnetic fields with a nonlocal chiral model
• Quark condensate and magnetic moment in a strong magnetic field
• Finite-Size Effects on the Critical End Point of Magnetized Quark Matter in the Nonlocal PNJL Model