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Chiral random matrix theory for single-flavor spin-one Cooper pairing
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Chiral random matrix theory for single-flavor spin-one Cooper pairing
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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 $\mathrm{SU}(3)_C$ and spin $\mathrm{SO}(3)_J$ symmetries down to the diagonal $\mathrm{SO}(3)_{C+J}$ 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 $\mathrm{U}(1) \times \mathrm{SO}(3)_J \to \mathrm{SO}(2)_J$. 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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Cited by 1 Pith paper
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Analysis of the QCD Kondo phase using random matrices
A novel random matrix model for the QCD Kondo phase is solved in the large-N limit, revealing three phases and deriving low-energy effective theories for Nambu-Goldstone modes.
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