Color superconductor with a color-sextet condensate

Tomáš Brauner; Jiří Hošek; Rudolf Sýkora

doi:10.1103/PhysRevD.68.094004

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Color superconductor with a color-sextet condensate

Tomáš Brauner, Jiří Hošek, Rudolf Sýkora

DOI 10.1103/PhysRevD.68.094004 · Physical Review D

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Abstract

We analyze color superconductivity of one massive flavor quark matter at moderate baryon density with a spin-zero color-sextet condensate. The most general Higgs-type ground-state expectation value of the order parameter implies complete breakdown of the SU(3)×U(1) symmetry. However, both the conventional fourth-order polynomial effective bosonic description and the Nambu–Jona-Lasinio–type fermionic description in the mean-field approximation favor an enhanced SO(3) symmetry of the ground state. We ascribe this finding to the failure of the mean-field approximation and propose that a more sophisticated technique is needed.