Banks-Casher-type relation for the BCS gap at high density
arXiv:1211.5332 · doi:10.1140/epja/i2013-13088-5
Abstract
We derive a new Banks-Casher-type relation which relates the density of complex Dirac eigenvalues at the origin to the BCS gap of quarks at high density. Our relation is applicable to QCD and QCD-like theories without a sign problem, such as two-color QCD and adjoint QCD with baryon chemical potential, and QCD with isospin chemical potential. It provides us with a method to measure the BCS gap through the Dirac spectrum on the lattice.
14 pages, 2 figures, some additions (in particular eq. (4.13)), version to appear in EPJA