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

Kanazawa, Takuya and Wettig, Tilo and Yamamoto, Naoki (2013) Banks-Casher-type relation for the BCS gap at high density. EUROPEAN PHYSICAL JOURNAL A, 49 (7): 88. ISSN 1434-6001,

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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 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.

Item Type: Article
Uncontrolled Keywords: CHIRAL PERTURBATION-THEORY; RANDOM-MATRIX THEORY; SPECTRAL SUM-RULES; FINITE ISOSPIN DENSITY; QCD-LIKE THEORIES; DIRAC OPERATOR; SYMMETRY-BREAKING; BARYON DENSITY; QUARK MATTER; STATISTICS;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Tilo Wettig
Depositing User: Dr. Gernot Deinzer
Date Deposited: 06 Apr 2020 14:14
Last Modified: 06 Apr 2020 14:14
URI: https://pred.uni-regensburg.de/id/eprint/16414

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