Chiral symmetry breaking, color superconductivity and color neutral quark matter: a variational approach

Details Chiral symmetry breaking, color superconductivity and color neutral quark matter: a variational approach Chiral symmetry breaking, color superconductivity and color neutral quark matter: a variational approach

2003-06-12

arxiv.org/abs/hep-ph/0306105v2

Phys.Rev. D69 (2004) 014014

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 6 figures,to appear in Phys. Rev.D

Scientific paper

10.1103/PhysRevD.69.014014

We investigate the vacuum realignment for chiral symmetry breaking and color superconductivity at finite density in Nambu-Jona-Lasinio model in a variational method. The treatment allows us to investigate simultaneous formation of condensates in quark antiquark as well as in diquark channels. The methodology involves an explicit construction of a variational ground state and minimisation of the thermodynamic potential. Color and electric charge neutrality conditions are imposed through introduction of appropriate chemical potentials. Color and flavor dependent condensate functions are determined through minimisation of the thermodynamic potential. The equation of state is calculated. Simultaneous existence of a mass gap and superconducting gap is seen in a small window of quark chemical potential within the model when charge neutrality conditions are not imposed. Enforcing color and electric charge neutrality conditions gives rise to existence of gapless superconducting modes depending upon the magnitude of the gap and the difference of the chemical potentials of the condensing quarks.

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