Dense QCD in a finite volume

Naoki Yamamoto, Takuya Kanazawa

Research output: Contribution to journalArticle

26 Citations (Scopus)

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 languageEnglish
Article number032001
JournalPhysical Review Letters
Volume103
Issue number3
DOIs
Publication statusPublished - 2009 Aug 6
Externally publishedYes

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quantum chromodynamics
color
superconductivity
sum rules
partitions
baryons
pions
eigenvalues
signatures
quarks
operators
symmetry

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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

In: Physical Review Letters, Vol. 103, No. 3, 032001, 06.08.2009.

Research output: Contribution to journalArticle

Yamamoto, Naoki ; Kanazawa, Takuya. / Dense QCD in a finite volume. In: Physical Review Letters. 2009 ; Vol. 103, No. 3.
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