Effects of Fierz transformation on gap equation and CEP at finite chemical potential and finite temperature in Hartree–Fock approximation

Wu, Zuqing; Ping, J. L.; Zong, Hong-Shi

doi:10.1142/s0217732317502224

Cited by 2 publications

(1 citation statement)

References 27 publications

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“…First, the curves of chiral susceptibility show that the chiral transition takes the form of a crossover. Although in some studies [15,32,33] the transition is a first order phase transition, it is found that when the vector interaction is strong enough, the first order phase transition turns to the crossover [15,21]. Second, the position of peak shifts toward smaller chemical potential as the parameter α decreases.…”

Section: Thermodynamic Propertiesmentioning

confidence: 96%

Color superconductivity with self-consistent NJL-type model

Su,

Shi,

xia

et al. 2020

Preprint

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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 ∆ ≈ 0.57T c .

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