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.
Color superconducting matter in a magnetic field
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abstract
We investigate the effect of a magnetic field on cold dense three-flavor quark matter using an effective model with four-Fermi interactions with electric and color neutrality taken into account. The gap parameters Delta_1, Delta_2, and Delta_3 representing respectively the predominant pairing between down and strange (d-s) quarks, strange and up (s-u) quarks, and up and down (u-d) quarks, show the de Haas-van Alphen effect, i.e. oscillatory behavior as a function of the modified magnetic field B that can penetrate the color superconducting medium. Without applying electric and color neutrality we find Delta_2 \approx Delta_3 >> Delta_1 for 2 e B / mu_q^2, where e is the modified electromagnetic coupling constant and mu_q is one third of the baryon chemical potential. Because the average Fermi surface for each pairing is affected by taking into account neutrality, the gap structure changes drastically in this case; we find Delta_1 >> Delta_2 \approx Delta_3 for 2 e B > mu_q^2. We point out that the magnetic fields as strong as presumably existing inside magnetars might induce significant deviations from the gap structure Delta_1 \approx Delta_2 \approx Delta_3 at zero magnetic field.
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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.