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
SN - 0031-9007
VL - 103
JO - Physical review letters
JF - Physical review letters
IS - 3
M1 - 032001
ER -