Chiral random matrix theory for two-color QCD at high density

Abstract

We identify a non-Hermitian chiral random matrix theory that corresponds to two-color QCD at high density. We show that the partition function of the random matrix theory coincides with the partition function of the finite-volume effective theory at high density, and that the Leutwyler-Smilga-type spectral sum rules of the random matrix theory are identical to those derived from the effective theory. The microscopic Dirac spectrum of the theory is governed by the BCS gap, rather than the conventional chiral condensate. We also show that with a different choice of a parameter the random matrix theory yields the effective partition function at low density.

5 pages, no figure; v2. minor changes and text improvements, the version published in Phys. Rev. D

References in corpus (7)

• Color superconductivity in dense quark matter
• Random matrices beyond the Cartan classification
• Chiral Lagrangian and spectral sum rules for dense two-color QCD
• Dense QCD in a Finite Volume
• Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential
• Characteristic polynomials in real Ginibre ensembles
• The chiral Gaussian two-matrix ensemble of real asymmetric matrices

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