In the two-flavor NJL model with anomalous magnetic moment of quarks, external magnetic field produces inverse magnetic catalysis and a magnetic-field-dependent drop in the Mott temperature for the Goldstone mode.
Properties of neutral mesons in a hot and magnetized quark matter
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abstract
The properties of non-interacting $\sigma$ and $\pi^{0}$ mesons are studied at finite temperature, chemical potential and in the presence of a constant magnetic field. To do this, the energy dispersion relations of these particles, including nontrivial form factors, are derived using a derivative expansion of the effective action of a two-flavor, hot and magnetized Nambu--Jona-Lasinio (NJL) model up to second order. The temperature dependence of the pole and screening masses as well as the directional refraction indices of magnetized neutral mesons are explored for fixed magnetic fields and chemical potentials. It is shown that, because of the explicit breaking of the Lorentz invariance by the magnetic field, the refraction index and the screening mass of neutral mesons exhibit a certain anisotropy in the transverse and longitudinal directions with respect to the direction of the external magnetic field. In contrast to their longitudinal refraction indices, the transverse indices of the neutral mesons are larger than unity.
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MFIR plus MSS regularization of the NJL model keeps the 2SC superconducting gap finite at large chemical potential under magnetic fields and eliminates spurious normal-phase transitions and de Haas–van Alphen artifacts.
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Effect of anomalous magnetic moment of quarks on the phase structure and mesonic properties in the NJL model
In the two-flavor NJL model with anomalous magnetic moment of quarks, external magnetic field produces inverse magnetic catalysis and a magnetic-field-dependent drop in the Mott temperature for the Goldstone mode.
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Dense and Cold Magnetized Quark Matter: A Review of Magnetic-Field-Independent Regularization and the Medium Separation Scheme
MFIR plus MSS regularization of the NJL model keeps the 2SC superconducting gap finite at large chemical potential under magnetic fields and eliminates spurious normal-phase transitions and de Haas–van Alphen artifacts.