Abstract
We study the magnetic properties of quark matter in the NJL model including the tensor interaction. There are two kinds of spin-polarized phases: one appears in the chiral-broken phase, and the other in the chiral-restored phase where the quark mass is zero. The latter phase can appear independently of the strength of the tensor interaction.
Highlights
Discovery of magnetars [1], which are neutron stars with super strong magnetic field, have revived a big question about the origin of the strong magnetic field
We have studied the spontaneous spin polarizations (SP) of quark matter in the NJL model with the tensor interaction
The SP-I phase can exist in the density region above the chiral phase transition (CPT) density and shifts the chiral transition to higher density
Summary
Discovery of magnetars [1], which are neutron stars with super strong magnetic field, have revived a big question about the origin of the strong magnetic field. In the relativistic framework the “spin density” can take the two forms [3], ψ† Σi ψ(≡ −ψγ γi ψ) and ψ† γ0 Σi ψ(≡ −ψσ ψ), with ψ being the quark field. The former is a space-component of the axial-vector (AV) mean-field, and the latter is that of the tensor (T) one. The tensor-type spin polarizations (SP) can appear even if the quark mass becomes zero [6]. The tensor-type SP can appear in the wide density region, especially in the mass-zero region.
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