We perform a comparison between different lattice regularizations of the Dirac operator for massless fermions in the framework of the single and two flavor Schwinger model. We consider a) the Wilson-Dirac operator at the critical value of the hopping parameter; b) Neuberger's overlap operator; c) the fixed point operator. We test chiral properties of the spectrum, dispersion relations and rotational invariance of the mesonic bound state propagators.
Description
ScienceDirect - Physics Letters B : Wilson, fixed point and Neuberger's lattice Dirac operator for the Schwinger model1
%0 Journal Article
%1 Farchioni1998214
%A Farchioni, F.
%A Hip, I.
%A Lang, C. B.
%D 1998
%J Physics Letters B
%K Lattice Overlap PerfectAction SchwingerModel WilsonDirac
%N 1-4
%P 214 - 220
%R DOI: 10.1016/S0370-2693(98)01343-4
%T Wilson, fixed point and Neuberger's lattice Dirac operator for the Schwinger model
%U http://www.sciencedirect.com/science/article/B6TVN-3VF3B2P-16/2/4ac68f60c8aa5bc59cc0e3a5ce048bf9
%V 443
%X We perform a comparison between different lattice regularizations of the Dirac operator for massless fermions in the framework of the single and two flavor Schwinger model. We consider a) the Wilson-Dirac operator at the critical value of the hopping parameter; b) Neuberger's overlap operator; c) the fixed point operator. We test chiral properties of the spectrum, dispersion relations and rotational invariance of the mesonic bound state propagators.
@article{Farchioni1998214,
abstract = {We perform a comparison between different lattice regularizations of the Dirac operator for massless fermions in the framework of the single and two flavor Schwinger model. We consider a) the Wilson-Dirac operator at the critical value of the hopping parameter; b) Neuberger's overlap operator; c) the fixed point operator. We test chiral properties of the spectrum, dispersion relations and rotational invariance of the mesonic bound state propagators.},
added-at = {2009-05-07T20:37:12.000+0200},
author = {Farchioni, F. and Hip, I. and Lang, C. B.},
biburl = {https://www.bibsonomy.org/bibtex/2b1f28baf58e5559250813f838532b383/gber},
description = {ScienceDirect - Physics Letters B : Wilson, fixed point and Neuberger's lattice Dirac operator for the Schwinger model1},
doi = {DOI: 10.1016/S0370-2693(98)01343-4},
interhash = {41076c5442e6a02eb5505edd0de85046},
intrahash = {b1f28baf58e5559250813f838532b383},
issn = {0370-2693},
journal = {Physics Letters B},
keywords = {Lattice Overlap PerfectAction SchwingerModel WilsonDirac},
number = {1-4},
pages = {214 - 220},
timestamp = {2009-05-07T20:37:12.000+0200},
title = {Wilson, fixed point and Neuberger's lattice Dirac operator for the Schwinger model},
url = {http://www.sciencedirect.com/science/article/B6TVN-3VF3B2P-16/2/4ac68f60c8aa5bc59cc0e3a5ce048bf9},
volume = 443,
year = 1998
}