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Two-flavor color superconductivity in the Fierz-transfromed Nambu--Jona-Lasinio model

2021/09/07 by Wen-Hua Cai, Cai, Wen-Hua, Qing-Wu Wang +1
Earth and Planetary Sciences · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #High-pressure geophysics and materials #Physics of Superconductivity and Magnetism

paper · pdf · doi:10.48550/arxiv.2109.02831

openalex publication_date 2021/09/07 · openalex created_date 2021/09/13 · openalex updated_date 2026/07/28

Abstract

The color superconducting phase of two-flavor quark matter is studied under a Fierz-transformed Lagrangian. In the Fierz-transformed Lagrangian both the quark-antiquark and quark-quark channel are included. Two parameters α and β are introduced to weight the Fierz-transformed quark-antiquark Lagrangian and quark-quark Lagrangian, respectively. The couplings of different interaction channel are thus fixed by the two coefficients other than five free parameters. The interplay between chiral symmetry restoration and the formation of color superconducting phases are discussed. It is found that the increase of α leads the chiral phase transition from first order to crossover. The calculated specific heat shows jump at critical temperature which confirms the phase transition. The increase of β leads the pseudo-critical chemical potential reduce. With large β the superconductors gap Δ can be larger than the typical value and the well-known BCS relation between critical temperature and gap is well fitted.

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