Effects of quark anomalous magnetic moment on the thermodynamical properties and mesonic excitations of magnetized hot and dense matter in PNJL model

Abstract

Various thermodynamic quantities and the phase diagram of strongly interacting hot and dense magnetized quark matter are obtained with the $2$-flavour Nambu-Jona-Lasinio model with Polyakov loop considering finite values of the anomalous magnetic moment (AMM) of the quarks. Susceptibilities associated with constituent quark mass and traced Polyakov loop are used to evaluate chiral and deconfinement transition temperatures. It is found that, inclusion of the AMM of the quarks in presence of the background magnetic field results in a substantial decrease in the chiral as well as deconfinement transition temperatures in contrast to an enhancement in the chiral transition temperature in its absence. Using standard techniques of finite temperature field theory, the two point thermo-magnetic mesonic correlation functions in the scalar ($\sigma$) and neutral pseudoscalar (${\pi }^0$) channels are evaluated to calculate the masses of $\sigma$ and ${\pi }^0$ considering the AMM of the quarks.

Version published in European Physical Journal A

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• Magnetism of QCD matter and pion mass from tensor-type spin polarization and anomalous magnetic moment of quarks
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• Light pseudo-scalar meson masses under strong magnetic fields within the SU(3) Nambu-Jona-Lasinio model
• 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
• Restriction on the form of quark anomalous magnetic moment from lattice QCD results
• Thermomagnetic modification of the anomalous magnetic moment of quarks using the NJL model
• Spin Polarization and Anomalous Magnetic Moment in a (2 + 1)-flavor Nambu-Jona-Lasinio model in a thermomagnetic background
• Magnetic field dependence of the neutral pion longitudinal screening mass in the linear sigma model with quarks
• Magnetic correction to the Anomalous Magnetic Moment of Electron
• Artificial first-order phase transition in a magnetized Nambu--Jona-Lasinio model with a quark anomalous magnetic moment
• Collective modes of a massive fermion in a magnetized medium with finite anomalous magnetic moment
• Charged particles interaction in both a finite volume and a uniform magnetic field II: topological and analytic properties of a magnetic system
• Landau quantization and spin polarization of cold magnetized quark matter
• Strongly interacting matter in extreme magnetic fields
• The mass and spectral function of scalar and pseudoscalar mesons in a hot and chirally imbalanced medium using the two-flavor NJL model
• Axial inverse magnetic catalysis
• Quark anomalous magnetic moment in an extreme magnetic background from perturbative QCD
• Finite size effect on the thermodynamics of a hot and magnetized hadron resonance gas
• Electrical conductivity and shear viscosity of a pion gas in a thermo-magnetic medium
• Quark condensate and magnetic moment in a strong magnetic field