Color superconductivity with self-consistent NJL-type model

In this paper, the NJL-type model is used to investigate the color superconductivity. The four-fermion interactions of the NJL-type model are Fierz-transformed into two different classes, i.e., the quark-antiquark and the quark-quark interaction channels, associated with the chiral symmetry breaking...

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Bibliographic Details
Published in:arXiv.org 2020-08
Main Authors: Li-Qun Su, Shi, Chao, Yong-Hui, xia, Zong, Hongshi
Format: Article
Language:English
Subjects:
Broken symmetry
Channels
Color
Density
Fermions
Phase transitions
Quarks
Solid phases
Superconductivity
Weighting
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Summary:In this paper, the NJL-type model is used to investigate the color superconductivity. The four-fermion interactions of the NJL-type model are Fierz-transformed into two different classes, i.e., the quark-antiquark and the quark-quark interaction channels, associated with the chiral symmetry breaking and color superconductivity respectively. We conclude that the weighting factor between quark-antiquark and quark-quark interaction channels has significance on the phase structure when the mean-field approximation is employed, and the baryon number density gives a tight constraint on the weighting factor of quark-antiquark interaction channels. Besides, the susceptibilities show that the color superconducting phase transition is of the second-order and takes place before the chiral crossover transition as quark number density increases. In the end, we study the critical temperatures \(T_c\) of the color superconductivity and it agrees with the perturbative result of diquark condensate \(\Delta\approx0.57T_c\).
ISSN:2331-8422
DOI:10.48550/arxiv.2008.07678