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

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Summary

Introduction

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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