Chiral random matrix theory for single-flavor spin-one Cooper pairing
Takuya Kanazawa
DOI 10.1103/PhysRevD.101.116021 · Physical Review D
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Abstract
We propose a new non-Hermitian chiral random matrix model that describes single-flavor spin-one Cooper pairing of quarks. For three colors the model shows spontaneous breaking of color SU(3)C and spin SO(3)J symmetries down to the diagonal SO(3)C+J subgroup, in striking analogy to the color-spin locked phase of one-flavor QCD at high density. For two colors, color-singlet spin-one diquarks condense and trigger symmetry breaking U(1)×SO(3)J→SO(2)J. In both cases the microscopic large-N limit is rigorously taken and the effective theory of Nambu-Goldstone modes is derived.
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