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Microscopic spectral density in random matrix models for chiral and diquark condensation

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arxiv hep-ph/0208085 v2 pith:VHNJDV6H submitted 2002-08-08 hep-ph

Microscopic spectral density in random matrix models for chiral and diquark condensation

classification hep-ph
keywords chiralspectraldensitybetacolorscondensationdiquarkensemble
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We examine random matrix models of QCD which are capable of supporting both chiral and diquark condensation. A numerical study of the spectral densities near zero virtuality shows that the introduction of color in the interactions does not alter the one-body results imposed by chiral symmetry. A model with three colors has the spectral density predicted for the chiral ensemble with a Dyson index beta = 2; a pseudoreal model with two colors exhibits the spectral density of the chiral ensemble with beta = 1.

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Cited by 1 Pith paper

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  1. Relativistic Cooper pairing in the microscopic limit of chiral random matrix theory

    hep-th 2020-04 unverdicted novelty 7.0

    A new non-Hermitian chiral random matrix model exhibits color-flavor locking for three flavors and the two-flavor color-superconducting phase for two flavors in the microscopic large-N limit.