### 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 |

### ASJC Scopus subject areas

- General

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## Cite this

Kanazawa, T., Wettig, T., & Yamamoto, N. (2010). Exact results for two-color QCD at low and high density.

*Proceedings of Science*,*105*.