%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 }