Effect of anomalous magnetic moment of quarks on the phase structure and mesonic properties in the NJL model

Abstract

Employing a field dependent three-momentum cut-off regularization technique, we study the phase structure and mesonic masses using the $2$-flavour Nambu-Jona Lasinio model at finite temperature and density in presence of arbitrary external magnetic field. This approach is then applied to incorporate the effects of the anomalous magnetic moment(AMM) of quarks on constituent quark mass and thermodynamic observables as a function of temperature/baryonic density. The critical temperature for transition from chiral symmetry broken to the restored phase is observed to decrease with the external magnetic field, which can be classified as inverse magnetic catalysis, while an opposite behaviour is realized in the case of a vanishing magnetic moment, implying magnetic catalysis. These essential features are also reflected in the phase diagram. Furthermore, the properties of the low lying scalar and neutral pseudoscalar mesons are also studied in presence of a hot and dense magnetized medium including AMM of the quarks using random phase approximation. For non-zero values of magnetic field, we notice a sudden jump in the mass of the Goldstone mode at and above the Mott transition temperature which is found to decrease substantially with the increase in magnetic field when the AMM of the quarks are taken into consideration.

Version published in Physical Review D

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• Mass spectra of neutral mesons $K_0,{\pi }_0,\eta ,{\eta }^{\prime }$ at finite magnetic field, temperature and baryon chemical potential
• Quark anomalous magnetic moment leads to the inverse magnetic catalysis phenomena of chiral restoration and deconfinement phase transitions in ${\mu }_B-T$ plane
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• 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
• Functional renormalization group study of neutral and charged pion under magnetic fields in the quark-meson model
• Effects of the anomalous magnetic moments of the quarks on the neutral pion properties within a SU(2) Nambu-Jona Lasinio model
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• Magnetic correction to the Anomalous Magnetic Moment of Electron
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• Collective modes of a massive fermion in a magnetized medium with finite anomalous magnetic moment
• Effect of anomalous magnetic moment on the chiral transition at zero temperature in a strong magnetic field
• Landau quantization and spin polarization of cold magnetized quark matter
• Vacuum effects on the properties of nuclear matter under an external magnetic field
• The mass and spectral function of scalar and pseudoscalar mesons in a hot and chirally imbalanced medium using the two-flavor NJL model
• Strongly interacting matter in extreme magnetic fields
• Quark anomalous magnetic moment in an extreme magnetic background from perturbative QCD
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• Dimensional reduction and the generalized pion in a magnetic field within the NJL model
• Boundary conditions and electromagnetic effects on the phase transition of a zero spin bosonic system
• Anomalous-magnetic-moment-enhanced Casimir effect
• Light mesons around critical end points in $T-{\mu }_B-{\mu }_I-eB$ space