Random matrix theory, chiral perturbation theory, and lattice data

Berbenni-Bitsch, M. E. and Goeckeler, Meinulf and Hehl, Holger and Meyer, S. and Rakow, P. E. L. and Schaefer, Andreas and Wettig, T. (1999) Random matrix theory, chiral perturbation theory, and lattice data. PHYSICS LETTERS B, 466 (2-4). pp. 293-300. ISSN 0370-2693, 1873-2445

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Abstract

Recently, the chiral logarithms predicted by quenched chiral perturbation theory have been extracted from lattice calculations of hadron masses. The deviations of lattice results from random matrix theory starting around the so-called Thouless energy can be understood in terms of chiral perturbation theory as well. Comparison of lattice data with chiral perturbation theory formulae allows us to compute the pion decay constant. We present results from a calculation for quenched SU(2) with Kogut-Susskind fermions at beta = 2.0 and 2,2. (C) 1999 Published by Elsevier Science B.V. All rights reserved.

Item Type: Article
Uncontrolled Keywords: QCD DIRAC EIGENVALUES; QUENCHED APPROXIMATION; SPECTRUM; OPERATOR; FLUCTUATIONS; ENERGY; chiral perturbation theory; random matrix theory; lattice gauge calculations; SU(2) gauge theory
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer
Depositing User: Dr. Gernot Deinzer
Date Deposited: 13 Dec 2022 06:59
Last Modified: 13 Dec 2022 06:59
URI: https://pred.uni-regensburg.de/id/eprint/48848

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