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.
ASJC Scopus subject areas
- Physics and Astronomy(all)