Banks-Casher-type relation for the BCS gap at high density
High Energy Physics - Lattice
2013-07-18 v2 High Energy Physics - Phenomenology
High Energy Physics - Theory
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.
Cite
@article{arxiv.1211.5332,
title = {Banks-Casher-type relation for the BCS gap at high density},
author = {Takuya Kanazawa and Tilo Wettig and Naoki Yamamoto},
journal= {arXiv preprint arXiv:1211.5332},
year = {2013}
}
Comments
14 pages, 2 figures, some additions (in particular eq. (4.13)), version to appear in EPJA