ar X iv : h ep - l at / 9 60 80 48 v 1 9 A ug 1 99 6 1 DESY 96 - 153 Low - Lying Eigenvalues of the Wilson - Dirac Operator ∗
نویسندگان
چکیده
An exploratory study of the low-lying eigenvalues of the Wilson-Dirac operator and their corresponding eigen-vectors is presented. Results for the eigenvalues from quenched and unquenched simulations are discussed. The eigenvectors are studied with respect to their localization properties in the quenched approximation for the cases of SU(2) and SU(3).
منابع مشابه
ar X iv : h ep - l at / 9 90 80 14 v 1 1 6 A ug 1 99 9 1
We give a perturbative proof that U(1) lattice gauge theories generate the axial anomaly in the continuum limit under very general conditions on the lattice Dirac operator. These conditions are locality, gauge covariance and the absense of species doubling. They hold for Wilson fermions as well as for realizations of the Dirac operator that satisfy the Ginsparg-Wilson relation. The proof is bas...
متن کاملar X iv : h ep - l at / 9 90 80 14 v 1 1 6 A ug 1 99 9 1 Lattice QED and Universality of the Axial Anomaly ∗
We give a perturbative proof that U(1) lattice gauge theories generate the axial anomaly in the continuum limit under very general conditions on the lattice Dirac operator. These conditions are locality, gauge covariance and the absense of species doubling. They hold for Wilson fermions as well as for realizations of the Dirac operator that satisfy the Ginsparg-Wilson relation. The proof is bas...
متن کاملar X iv : h ep - l at / 9 60 80 17 v 1 5 A ug 1 99 6 1 DESY 96
A Preliminary Lattice Study of the Glue in the Nucleon M. Göckeler b , R. Horsley, E.-M. Ilgenfritz, H. Oelrich , H. Perlt , P. E. L. Rakow , G. Schierholz e , A. Schiller and P. Stephenson Höchstleistungsrechenzentrum HLRZ, c/o Forschungszentrum Jülich, D-52425 Jülich, Germany Institut für Theoretische Physik, RWTH Aachen, D-52056 Aachen, Germany Institut für Theoretische Physik, J. W. Goethe ...
متن کاملar X iv : h ep - l at / 9 60 80 50 v 1 9 A ug 1 99 6 SU ( 3 ) glueballs on coarse , anisotropic lattices ∗
Results from a calculation of the low-lying glueball spectrum of pure-gauge SU(3) are used as a test of the effectiveness of improved discretisation schemes in reducing finite spacing errors. Glueball masses are extracted from simulations on anisotropic lattices, where the temporal lattice spacing is much shorter than the spatial ones. This allows clearer resolution of the decay of glueball cor...
متن کاملar X iv : h ep - l at / 9 91 10 04 v 1 4 N ov 1 99 9 RUHN - 99 – 4 Bounds on
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