Dense QCD in a finite volume

Naoki Yamamoto, Takuya Kanazawa

Research output: Contribution to journalArticlepeer-review

30 Citations (Scopus)


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 languageEnglish
Article number032001
JournalPhysical review letters
Issue number3
Publication statusPublished - 2009 Aug 6
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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