publication . Preprint . Article . 2012

Banks-Casher-type relation for the BCS gap at high density

Takuya Kanazawa; Tilo Wettig; Naoki Yamamoto;
Open Access English
  • Published: 22 Nov 2012
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.
Subjects
arXiv: High Energy Physics::LatticeHigh Energy Physics::PhenomenologyHigh Energy Physics::Experiment
free text keywords: High Energy Physics - Lattice, High Energy Physics - Phenomenology, High Energy Physics - Theory, Nuclear and High Energy Physics, Quantum chromodynamics, Isospin, Physics, Atomic physics, Hadron, Dirac operator, symbols.namesake, symbols, Baryon, Quark, Dirac spectrum, Particle physics, Dirac (video compression format), Mathematical physics
Related Organizations
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publication . Preprint . Article . 2012

Banks-Casher-type relation for the BCS gap at high density

Takuya Kanazawa; Tilo Wettig; Naoki Yamamoto;