Abstract: It was shown recently by I. Horvath that lattice fermions obeying the standard form of the Ginsparg-Wilson relation cannot be ultralocal. However, there are more general forms of the Ginsparg-Wilson relation, which also guarantee the physical properties related to chirality, but which are not covered by Horvath's consideration. Here we present a proof which applies to all Ginsparg-Wilson fermions, demonstrating that they can only be local in the sense of an exponential decay of their couplings, but not ultralocal.
%0 Journal Article
%1 Bietenholz:1999dg
%A Bietenholz, Wolfgang
%D 1999
%K ChiralSymmetry GinspargWilson Lattice Locality Overlap
%T On the absence of ultralocal Ginsparg-Wilson fermions
%U http://www.slac.stanford.edu/spires/find/hep/www?irn=3929116
%X Abstract: It was shown recently by I. Horvath that lattice fermions obeying the standard form of the Ginsparg-Wilson relation cannot be ultralocal. However, there are more general forms of the Ginsparg-Wilson relation, which also guarantee the physical properties related to chirality, but which are not covered by Horvath's consideration. Here we present a proof which applies to all Ginsparg-Wilson fermions, demonstrating that they can only be local in the sense of an exponential decay of their couplings, but not ultralocal.
@article{Bietenholz:1999dg,
abstract = { Abstract: It was shown recently by I. Horvath that lattice fermions obeying the standard form of the Ginsparg-Wilson relation cannot be ultralocal. However, there are more general forms of the Ginsparg-Wilson relation, which also guarantee the physical properties related to chirality, but which are not covered by Horvath's consideration. Here we present a proof which applies to all Ginsparg-Wilson fermions, demonstrating that they can only be local in the sense of an exponential decay of their couplings, but not ultralocal. },
added-at = {2009-03-06T10:43:57.000+0100},
archiveprefix = {arXiv},
author = {Bietenholz, Wolfgang},
biburl = {https://www.bibsonomy.org/bibtex/2e76443fde0743c3d682bca73d3ef1b73/gber},
description = {SPIRES-HEP: FIND IRN 3929116},
eprint = {hep-lat/9901005},
interhash = {b0fd001e39d3e06c5addaa3fb2202dc1},
intrahash = {e76443fde0743c3d682bca73d3ef1b73},
keywords = {ChiralSymmetry GinspargWilson Lattice Locality Overlap},
slaccitation = {%%CITATION = HEP-LAT/9901005;%%},
timestamp = {2009-03-08T15:25:47.000+0100},
title = {{On the absence of ultralocal Ginsparg-Wilson fermions}},
url = {http://www.slac.stanford.edu/spires/find/hep/www?irn=3929116},
year = 1999
}