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- W3026009907 abstract "In QCD, at high density, the color-octet quark-antiquark condensate $⟨overline{ensuremath{psi}}{ensuremath{gamma}}_{0}({ensuremath{lambda}}^{A}{)}_{C}({ensuremath{lambda}}^{A}{)}_{F}ensuremath{psi}⟩$ is generally nonzero and dynamically breaks the $mathrm{SU}(3{)}_{C}ifmmodetimeselsetexttimesfi{}mathrm{SU}(3{)}_{L}ifmmodetimeselsetexttimesfi{}mathrm{SU}(3{)}_{R}$ symmetry down to the diagonal $mathrm{SU}(3{)}_{V}$. We evaluate this condensate in the mean-field approximation and find that it is of order $ensuremath{mu}{mathrm{ensuremath{Delta}}}^{2}mathrm{log}(ensuremath{mu}/mathrm{ensuremath{Delta}})$ where $mathrm{ensuremath{Delta}}$ is the Bardeen--Cooper--Schrieffer (BCS) gap of quarks. Next, we propose a novel non-Hermitian chiral random matrix theory that describes the formation of colorful quark-antiquark condensates. We take the microscopic large-$N$ limit and find that three phases appear depending on the parameter of the model. They are the color-flavor-locked phase, the polar phase, and the normal phase. We rigorously derive the effective theory of Nambu-Goldstone modes and determine the quark-mass dependence of the partition function." @default.
- W3026009907 created "2020-05-21" @default.
- W3026009907 creator A5017042035 @default.
- W3026009907 date "2020-07-01" @default.
- W3026009907 modified "2023-10-14" @default.
- W3026009907 title "Chiral random matrix theory for colorful quark-antiquark condensates" @default.
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- W3026009907 doi "https://doi.org/10.1103/physrevd.102.014002" @default.
- W3026009907 hasPublicationYear "2020" @default.
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