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arxiv: 1211.5332 · v2 · pith:O5PLHMTTnew · submitted 2012-11-22 · ✦ hep-lat · hep-ph· hep-th

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

classification ✦ hep-lat hep-phhep-th
keywords densityrelationbanks-casher-typechemicaldirachighpotentialadjoint
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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.

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