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

Takuya Kanazawa, Tilo Wettig, Naoki Yamamoto

Research output: Contribution to journalArticle

21 Citations (Scopus)

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.

Original languageEnglish
Article number081701
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume81
Issue number8
DOIs
Publication statusPublished - 2010 Apr 19
Externally publishedYes

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matrix theory
quantum chromodynamics
color
partitions
sum rules
condensates

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Chiral random matrix theory for two-color QCD at high density. / Kanazawa, Takuya; Wettig, Tilo; Yamamoto, Naoki.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 81, No. 8, 081701, 19.04.2010.

Research output: Contribution to journalArticle

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