Solitonic modulation and Lifshitz point in an external magnetic field within Nambu--Jona-Lasinio model

Abstract

We study the inhomogeneous solitonic modulation of a chiral condensate within the effective Nambu--Jona-Lasinio model when a constant external magnetic field is present. The self-consistent Pauli-Villars regularization scheme is adopted to manipulate the ultraviolet divergence encountered in the thermodynamic quantities. In order to determine the chiral restoration lines efficiently, a new kind of Ginzburg-Landau expansion approach is proposed here. At zero temperature, we find that both the upper and lower boundaries of the solitonic modulation oscillate with the magnetic field in the $\mu$--$B$ phase diagram which is actually the de Hass-van Alphan (dHvA) oscillation. It is very interesting to find out how the tricritical Lifshitz point $(T_L,{\mu }_L)$ evolves with the magnetic field: There are also dHvA oscillations in the $T_L$--$B$ and ${\mu }_L$--$B$ curves, though the tricritical temperature $T_L$ increases monotonically with the magnetic field.

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• Thermo-magnetic effects in quark matter: Nambu--Jona-Lasinio model constrained by lattice QCD
• NJL-type models in the presence of intense magnetic fields: the role of the regularization prescription
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• "Splitting" magnetic catalysis effect prevents vacuum superconductivity in strong magnetic fields
• Competition between magnetic catalysis effect and chiral rotation effect
• A novel Dual Chiral Density Wave in nuclear matter based on a parity doublet structure
• Chiral crystallization in an external magnetic background - Chiral spiral versus Real kink crystal -
• Dual chiral density waves in nuclear matter
• Magnetic-Field Induced Critical Endpoint
• Chiral spiral induced by a strong magnetic field
• Holographic Magnetized Chiral Density Wave
• Chiral symmetry breaking in a semi-localized magnetic field
• Gradient expansion technique for inhomogeneous, magnetized quark matter
• Casimir effect in magnetic dual chiral density waves