NJL-type models in the presence of intense magnetic fields: the role of the regularization prescription

Abstract

We study the regularization dependence of the Nambu-Jona--Lasinio model (NJL) predictions for some properties of magnetized quark matter at zero temperature (and baryonic density) in the mean field approximation. The model parameter dependence for each regularization procedure is also analyzed in detail. We calculate the average and difference of the quark condensates using different regularization methods and compare with recent lattice results. In this context, the reliability of the different regularization procedures is discussed.

arXiv comment15 pages, 9 figures, replaced with updated version matching the published one

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• Regularizing thermo and magnetic contributions within nonrenormalizable theories
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• Neutral pseudoscalar and vector meson masses under strong magnetic fields in an extended NJL model: mixing effects
• Thermomagnetic modification of the anomalous magnetic moment of quarks using the NJL model
• Restriction on the form of quark anomalous magnetic moment from lattice QCD results
• Magnetic field induced corrections to the NJL model coupling constant from vacuum polarization
• Quantum version of transport coefficients in Nambu--Jona-Lasinio model at finite temperature and strong magnetic field
• Effects of the anomalous magnetic moments of the quarks on the neutral pion properties within a SU(2) Nambu-Jona Lasinio model
• Masses of magnetized pseudoscalar and vector mesons in an extended NJL model: the role of axial vector mesons
• Artificial first-order phase transition in a magnetized Nambu--Jona-Lasinio model with a quark anomalous magnetic moment
• Magnetized pole-mass of neutral $\rho$ meson within full RPA evaluation
• Exposing the effect of $p$-wave in pion triplet under the strong magnetic field
• Diquark and nucleons under strong magnetic fields in the NJL model
• Magnetic field effect on pion superfluid
• Inverse magnetic catalysis and size-dependent effects on the chiral symmetry restoration
• QCD chiral condensate and pseudoscalar-meson properties in the nuclear medium at finite temperature
• Thermomagnetic effects on light pseudo-scalar meson masses within the SU(3) Nambu-Jona--Lasinio model
• Strongly interacting matter in extreme magnetic fields
• Medium separation scheme effects on the magnetized and cold two-flavor superconducting quark matter
• Polarization effects at finite temperature and magnetic field
• Boundary conditions and electromagnetic effects on the phase transition of a zero spin bosonic system
• Thermal Field Theory in the Presence of a Background Magnetic Field and its Application to QCD
• First-order CP phase transition in two-flavor QCD at $\theta =\pi$ under electromagnetic scale anomaly via a Nambu-Jona-Lasinio description
• ${\pi }^0\to 2\gamma$ decay under strong magnetic fields in the NJL model
• Anomalous-magnetic-moment-enhanced Casimir effect
• Light mesons around critical end points in $T-{\mu }_B-{\mu }_I-eB$ space
• Nambu--Jona-Lasinio $SU(3)$ model constrained by lattice QCD: thermomagnetic effects in the magnetization