https://doi.org/10.1140/epja/i2013-13088-5
Regular Article - Theoretical Physics
Banks-Casher-type relation for the BCS gap at high density
19911
Department of Physics, The University of Tokyo, 113-0033, Tokyo, Japan
29911
Department of Physics, University of Regensburg, 93040, Regensburg, Germany
39911
Yukawa Institute for Theoretical Physics, Kyoto University, 606-8502, Kyoto, Japan
49911
Maryland Center for Fundamental Physics, Department of Physics, University of Maryland, 20742-4111, College Park, MD, USA
* e-mail: tilo.wettig@ur.de
Received:
24
December
2012
Revised:
13
April
2013
Accepted:
19
April
2013
Published online:
17
July
2013
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 and zero temperature. 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.
© SIF, Springer-Verlag Berlin Heidelberg, 2013