Interplay between Spin Polarization and Color Superconductivity in High Density Quark Matter

TL;DR

This paper explores how spin polarization and color superconductivity coexist and transition in high-density quark matter, revealing phase structures and density-dependent realizations of these states.

Contribution

It introduces a four-point tensor interaction leading to spin polarization and analyzes the phase transitions between spin polarized and color superconducting states.

Findings

Spin polarization occurs at high density.

Color superconductivity appears at lower density.

Transitions involve coexistence phases with both order parameters.

Abstract

Here, it is suggested that a four-point interaction of the tensor type may lead to spin polarization in quark matter at high density. It is found that the two-flavor superconducting phase and the spin polarized phase correspond to distinct local minima of a certain generalized thermodynamical potential. It follows that the transition from one to the other phase occurs passing through true minima with both a spin polarization and a color superconducting gap. It is shown that the quark spin polarized phase is realized at rather high density, while the two-flavor color superconducting phase is realized at a lower density region.