### Abstract

We study the properties of QCD at high baryon density in a finite volume where color superconductivity occurs. We derive exact sum rules for complex eigenvalues of the Dirac operator at a finite chemical potential, and show that the Dirac spectrum is directly related to the color superconducting gap Δ. Also, we find a characteristic signature of color superconductivity: an X-shaped spectrum of partition function zeros in the complex quark mass plane near the origin, reflecting the Z(2)L×Z(2)R symmetry of the diquark pairing. Our results are universal in the domain Δ-1Lmπ-1 where L is the linear size of the system and mπ is the pion mass at high density.

Original language | English |
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Article number | 032001 |

Journal | Physical review letters |

Volume | 103 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2009 Aug 6 |

Externally published | Yes |

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

Yamamoto, N., & Kanazawa, T. (2009). Dense QCD in a finite volume.

*Physical review letters*,*103*(3), [032001]. https://doi.org/10.1103/PhysRevLett.103.032001