### 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 language | English |
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Article number | 081701 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 81 |

Issue number | 8 |

DOIs | |

Publication status | Published - 2010 Apr 19 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*81*(8), [081701]. https://doi.org/10.1103/PhysRevD.81.081701

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

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 81, no. 8, 081701. https://doi.org/10.1103/PhysRevD.81.081701

}

TY - JOUR

T1 - Chiral random matrix theory for two-color QCD at high density

AU - Kanazawa, Takuya

AU - Wettig, Tilo

AU - Yamamoto, Naoki

PY - 2010/4/19

Y1 - 2010/4/19

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=77952407147&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77952407147&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.81.081701

DO - 10.1103/PhysRevD.81.081701

M3 - Article

AN - SCOPUS:77952407147

VL - 81

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 8

M1 - 081701

ER -