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

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

2009-12-26

arxiv.org/abs/0912.4999v2

Phys.Rev.D81:081701,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.81.081701

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.

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