Fake symmetry transitions in lattice Dirac spectra

Schnabel, M. and Wettig, T. (2000) Fake symmetry transitions in lattice Dirac spectra. PHYSICAL REVIEW D, 62 (3): 034501. ISSN 0556-2821

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Abstract

In a recent lattice investigation of Ginsparg-Wilson-type Dirac operators in the Schwinger model, it was found that the symmetry class of the random matrix theory describing the small Dirac eigenvalues appeared to change from the unitary to the symplectic case as a function of lattice size and coupling constant. We present a natural explanation for this observation in the framework of a random matrix model, showing that the apparent change is caused by the onset of chiral symmetry restoration in a finite volume. A transition from unitary to symplectic symmetry does not occur.

Item Type: Article
Uncontrolled Keywords: EXACTLY MASSLESS QUARKS; RANDOM-MATRIX THEORY; QCD; OPERATOR; FERMIONS;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 30 Mar 2022 12:07
Last Modified: 30 Mar 2022 12:07
URI: https://pred.uni-regensburg.de/id/eprint/42307

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