Microscopic universality in the spectrum of the lattice Dirac operator

Berbenni-Bitsch, M. E. and Meyer, S. and Schäfer, Andreas and Verbaarschot, J. J. M. and Wettig, T. (1998) Microscopic universality in the spectrum of the lattice Dirac operator. PHYSICAL REVIEW LETTERS, 80 (6). pp. 1146-1149. ISSN 0031-9007, 1079-7114

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Abstract

Large ensembles of complete spectra of the Euclidean Dirac operator For staggered Fermions are calculated for SU(2) lattice gauge theory. The accumulation of eigenvalues near zero is analyzed as a signal of chiral symmetry breaking and compared with parameter-free predictions from chiral random-matrix theory. Excellent agreement for the distribution of the smallest eigenvalue and the microscopic spectral density is found. This provides direct evidence for the conjecture that these quantities are universal functions. [S0031-9007(98)05378-2].

Item Type: Article
Uncontrolled Keywords: RANDOM-MATRIX-THEORY; ZERO VIRTUALITY; STAGGERED FERMIONS; MONTE-CARLO; SUM-RULES; QCD; DENSITY; LIMIT; EDGE
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer
Depositing User: Dr. Gernot Deinzer
Date Deposited: 28 Feb 2023 09:12
Last Modified: 28 Feb 2023 09:12
URI: https://pred.uni-regensburg.de/id/eprint/50088

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