Regularization of the Nambu-Jona Lasinio model under a uniform magnetic field and the role of the anomalous magnetic moments

Abstract

The vacuum contribution to quark matter under a uniform magnetic field within the SU(3) version of the Nambu and Jona-Lasinio model is studied. The standard regularization procedure is examined and a new prescription is proposed. For this purpose analytic regularization and a subtraction scheme are used to deal with divergencies depending on the magnetic intensity. This scheme is combined with the standard three momentum cutoff recipe, and reduces to it for vanishing magnetic intensity. Furthermore, the effects of a direct coupling between the anomalous magnetic moments of the quarks and the magnetic field is considered. Single particle properties as well as bulk thermodynamical quantities are studied for a configuration of matter found in neutron stars. A wide range of baryonic densities and magnetic intensities are examined at zero temperature.

Major revision

References in corpus (9)

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• Magnetized strange quark matter and magnetized strange quark stars
• Vacuum structure and chiral symmetry breaking in strong magnetic fields for hot and dense quark matter
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• Effect of anomalous magnetic moment of quarks on the phase structure and mesonic properties in the NJL model
• Modification of the masses of the lightest neutral mesons in a hadronic medium under an external magnetic field

Cited by in corpus (12)

• Dilepton production from magnetized quark matter with an anomalous magnetic moment of the quarks using a three-flavor PNJL model
• Heavy Magnetic Neutron Stars
• Effects of the quark anomalous magnetic moment in the chiral symmetry restoration: magnetic catalysis and inverse magnetic catalysis
• Quark anomalous magnetic moment leads to the inverse magnetic catalysis phenomena of chiral restoration and deconfinement phase transitions in ${\mu }_B-T$ plane
• Spin Polarization and Anomalous Magnetic Moment in a (2 + 1)-flavor Nambu-Jona-Lasinio model in a thermomagnetic background
• Insignificance of the anomalous magnetic moment of the quarks in presence of chiral imbalance
• Effects of the anomalous magnetic moments of the quarks on the neutral pion properties within a SU(2) Nambu-Jona Lasinio model
• Artificial first-order phase transition in a magnetized Nambu--Jona-Lasinio model with a quark anomalous magnetic moment
• Effect of anomalous magnetic moment on the chiral transition at zero temperature in a strong magnetic field
• Strongly interacting matter in extreme magnetic fields
• Effects of anisotropy on strongly magnetized neutron and strange quark stars in general relativity
• Anomalous-magnetic-moment-enhanced Casimir effect