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Volume 16
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10.3390/sym16121642
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Review

Axial-Vector and Tensor Spin Polarization and Chiral Restoration in Quark Matter

by
Tomoyuki Maruyama
1,* and
Toshitaka Tatsumi
2
1
College of Bioresource Sciences, Nihon University, Fujisawa 252-0880, Japan
2
Independent Researcher, Kitashirakawa Kamiikeda-cho 52-4, Kyoto 606-8287, Japan
*
Author to whom correspondence should be addressed.
Symmetry 2024, 16(12), 1642; https://doi.org/10.3390/sym16121642
Submission received: 6 November 2024 / Revised: 2 December 2024 / Accepted: 9 December 2024 / Published: 11 December 2024
(This article belongs to the Special Issue Chiral Symmetry, and Restoration in Nuclear Dense Matter)
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Abstract

We study spontaneous the spin polarization of quark matter with flavor SU(2) symmetry at zero temperature in the NJL model. In a relativistic framework, there are two types of spin–spin interactions: axial vector (AV) and tensor (T), which accordingly give rise to different types of spin-polarized materials. When the spin–spin interaction is sufficiently strong, the spin-polarized phase emerges within a specific density region. As the spin–spin interaction becomes stronger, this phase extends over a higher-density region beyond the critical density of chiral restoration in normal quark matter. We show that the spin-polarized phase leads to another kind of spontaneous chiral symmetry breaking phase.
Keywords: spin polarization; chiral symmetry; NJL model; axial vector; tensor spin polarization; chiral symmetry; NJL model; axial vector; tensor

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MDPI and ACS Style

Maruyama, T.; Tatsumi, T. Axial-Vector and Tensor Spin Polarization and Chiral Restoration in Quark Matter. Symmetry 2024, 16, 1642. https://doi.org/10.3390/sym16121642

AMA Style

Maruyama T, Tatsumi T. Axial-Vector and Tensor Spin Polarization and Chiral Restoration in Quark Matter. Symmetry. 2024; 16(12):1642. https://doi.org/10.3390/sym16121642

Chicago/Turabian Style

Maruyama, Tomoyuki, and Toshitaka Tatsumi. 2024. "Axial-Vector and Tensor Spin Polarization and Chiral Restoration in Quark Matter" Symmetry 16, no. 12: 1642. https://doi.org/10.3390/sym16121642

APA Style

Maruyama, T., & Tatsumi, T. (2024). Axial-Vector and Tensor Spin Polarization and Chiral Restoration in Quark Matter. Symmetry, 16(12), 1642. https://doi.org/10.3390/sym16121642

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