### Abstract

We discuss a random matrix theory that was originally constructed to describe two-color QCD at low density in the phase with a nonzero chiral condensate. With a particular choice of a parameter, the same random matrix theory also describes the high-density phase of two-color QCD. In this phase a BCS superfluid of diquark pairs is formed, and the pattern of chiral symmetry breaking is very different from that at low density. Analytical results for the spectral density obtained from this random matrix theory allow for the extraction of the BCS gap from lattice data.

Original language | English |
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Journal | Proceedings of Science |

Volume | 105 |

Publication status | Published - 2010 Jan 1 |

Externally published | Yes |

Event | 28th International Symposium on Lattice Field Theory, Lattice 2010 - Villasimius, Sardinia, Italy Duration: 2010 Jun 14 → 2010 Jun 19 |

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### ASJC Scopus subject areas

- General

### Cite this

*Proceedings of Science*,

*105*.

**Exact results for two-color QCD at low and high density.** / Kanazawa, Takuya; Wettig, Tilo; Yamamoto, Naoki.

Research output: Contribution to journal › Conference article

*Proceedings of Science*, vol. 105.

}

TY - JOUR

T1 - Exact results for two-color QCD at low and high density

AU - Kanazawa, Takuya

AU - Wettig, Tilo

AU - Yamamoto, Naoki

PY - 2010/1/1

Y1 - 2010/1/1

N2 - We discuss a random matrix theory that was originally constructed to describe two-color QCD at low density in the phase with a nonzero chiral condensate. With a particular choice of a parameter, the same random matrix theory also describes the high-density phase of two-color QCD. In this phase a BCS superfluid of diquark pairs is formed, and the pattern of chiral symmetry breaking is very different from that at low density. Analytical results for the spectral density obtained from this random matrix theory allow for the extraction of the BCS gap from lattice data.

AB - We discuss a random matrix theory that was originally constructed to describe two-color QCD at low density in the phase with a nonzero chiral condensate. With a particular choice of a parameter, the same random matrix theory also describes the high-density phase of two-color QCD. In this phase a BCS superfluid of diquark pairs is formed, and the pattern of chiral symmetry breaking is very different from that at low density. Analytical results for the spectral density obtained from this random matrix theory allow for the extraction of the BCS gap from lattice data.

UR - http://www.scopus.com/inward/record.url?scp=85055342225&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85055342225&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:85055342225

VL - 105

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

ER -