Spontaneous symmetry breaking in strong-coupling lattice QCD at high density

Abstract

We determine the patterns of spontaneous symmetry breaking in strong-coupling lattice QCD in a fixed background baryon density. We employ a next-nearest-neighbor fermion formulation that possesses the SU(N_f)xSU(N_f) chiral symmetry of the continuum theory. We find that the global symmetry of the ground state varies with N_f and with the background baryon density. In all cases the condensate breaks the discrete rotational symmetry of the lattice as well as part of the chiral symmetry group.

arXiv comment10 pages, RevTeX 4; added discussion of accidental degeneracy of vacuum after Eq. (35)

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• Color superconductivity in ultra-dense quark matter
• The critical region of strong-coupling lattice QCD in different large-N limits
• Anisotropic Goldstone bosons of strong-coupling lattice QCD at high density
• Strong coupling analysis of diquark condensation
• Dense baryonic matter in strong coupling lattice gauge theory