Aspects of high density effective theory in QCD

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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23 pages, 5 figures. The gap equations are re-analyzed in the HDL approximation

Scientific paper

10.1016/S0550-3213(00)00330-8

We study an effective theory of QCD at high density in detail, including the finite temperature effects and the leading order correction in $1/\mu$ expansion. We investigate the Cooper pair gap equation and find that the color-flavor locking phase is energetically preferred at high density. We also find the color-superconducting phase transition occurs in dense quark matter when the chemical potential is larger than $250\pm 100~{\rm MeV}$ and the temperature is lower than 0.57 times the Cooper pair gap in the leading order in the hard-dense-loop approximation. The quark-neutrino four-Fermi coupling and the quark-axion coupling receive significant corrections in dense quark matter.

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