Abstract
It is shown that there exists a possibility of spontaneous spin polarization in high density symmetric quark matter under the tensor-type four-point interaction between quarks in the Nambu-Jona-Lasinio model. Further, the spontaneous magnetization is simply estimated by taking into account only the lowest Landau level.
Highlights
One of recent interests about the study of hadronic matter and/or quark-gluon plasma governed by the quantum chromodynamics (QCD) is to understand the phase structure on the plane depicted by the temperature and the baryon chemical potential
In the region of low temperature and high baryon chemical potential in quark matter, rich phase structures are expected such as color superconducting phase including two-flavor color superconducting (2SC) phase, color-flavor locked phase and so on, quarkyonic phase, etc
At high baryon density where chiral symmetry is restored and the chiral symmetric phase is realized, the quark spin polarization does not occur because quark masses are zero
Summary
One of recent interests about the study of hadronic matter and/or quark-gluon plasma governed by the quantum chromodynamics (QCD) is to understand the phase structure on the plane depicted by the temperature and the baryon chemical potential. By the use of the Nambu-Jona-Lasinio (NJL) model with a pseudovector-type four-point interaction between quarks, a possibility of the spin polarized phase was indicated [1]. At high baryon density where chiral symmetry is restored and the chiral symmetric phase is realized, the quark spin polarization does not occur because quark masses are zero. In this paper, another possibility of the existence of spin polarized phase at zero temperature and high baryon density is investigated by using the NJL model with a tensor-type four-point interaction between quarks [3, 4]. The spontaneous magnetization is estimated by taking into account the lowest Landau level only
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