Universal and non-universal behavior in Dirac spectra

  • We have computed ensembles of complete spectra of the staggered Dirac operator using four-dimensional SU(2) gauge fields, both in the quenched approximation and with dynamical fermions. To identify universal features in the Dirac spectrum, we compare the lattice data with predictions from chiral random matrix theory for the distribution of the low-lying eigenvalues. Good agreement is found up to some limiting energy, the so-called Thouless energy, above which random matrix theory no longer applies. We determine the dependence of the Thouless energy on the simulation parameters using the scalar susceptibility and the number variance.

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Metadaten
Author:M. E. Berbenni-Bitsch, M. Göckeler, S. Meyer, A. Schäfer, J. J. M. Verbaarschot, T. Wettig
URN:urn:nbn:de:hbz:386-kluedo-8470
Document Type:Preprint
Language of publication:English
Year of Completion:1998
Year of first Publication:1998
Publishing Institution:Technische Universität Kaiserslautern
Date of the Publication (Server):2000/04/03
Faculties / Organisational entities:Kaiserslautern - Fachbereich Physik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 530 Physik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011