### 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 |
---|---|

Article number | 032001 |

Journal | Physical Review Letters |

Volume | 103 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2009 Aug 6 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physical Review Letters*,

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

**Dense QCD in a finite volume.** / Yamamoto, Naoki; Kanazawa, Takuya.

Research output: Contribution to journal › Article

*Physical Review Letters*, vol. 103, no. 3, 032001. https://doi.org/10.1103/PhysRevLett.103.032001

}

TY - JOUR

T1 - Dense QCD in a finite volume

AU - Yamamoto, Naoki

AU - Kanazawa, Takuya

PY - 2009/8/6

Y1 - 2009/8/6

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=68649089073&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=68649089073&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.103.032001

DO - 10.1103/PhysRevLett.103.032001

M3 - Article

AN - SCOPUS:68649089073

VL - 103

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 3

M1 - 032001

ER -