%0 Journal Article %1 Horvath:1999bk %A Horvath, Ivan %D 1999 %J Phys. Rev. %K ChiralSymmetry GinspargWilson Lattice Locality Overlap %P 034510 %R 10.1103/PhysRevD.60.034510 %T Ginsparg-Wilson-Luescher symmetry and ultralocality %U http://www.slac.stanford.edu/spires/find/hep/www?irn=3940195 %V D60 %X Abstract: Important recent discoveries suggest that Ginsparg-Wilson-Luscher (GWL) symmetry has analogous dynamical consequences for the theory on the lattice as chiral symmetry does in the continuum. While it is well known that inherent property of lattice chiral symmetry is fermion doubling, we show here that inherent property of GWL symmetry is that the infinitesimal symmetry transformation couples fermionic degrees of freedom at arbitrarily large lattice distances (non-ultralocality). The consequences of this result for ultralocality of symmetric actions are discussed.

@article{Horvath:1999bk, abstract = { Abstract: Important recent discoveries suggest that Ginsparg-Wilson-Luscher (GWL) symmetry has analogous dynamical consequences for the theory on the lattice as chiral symmetry does in the continuum. While it is well known that inherent property of lattice chiral symmetry is fermion doubling, we show here that inherent property of GWL symmetry is that the infinitesimal symmetry transformation couples fermionic degrees of freedom at arbitrarily large lattice distances (non-ultralocality). The consequences of this result for ultralocality of symmetric actions are discussed. }, added-at = {2009-03-06T10:45:16.000+0100}, archiveprefix = {arXiv}, author = {Horvath, Ivan}, biburl = {https://www.bibsonomy.org/bibtex/250aa7f60af5e5967baca8a6d4d1be107/gber}, description = {SPIRES-HEP: FIND IRN 3940195}, doi = {10.1103/PhysRevD.60.034510}, eprint = {hep-lat/9901014}, interhash = {975efe25b56718fdadf6abda994fe5bd}, intrahash = {50aa7f60af5e5967baca8a6d4d1be107}, journal = {Phys. Rev.}, keywords = {ChiralSymmetry GinspargWilson Lattice Locality Overlap}, pages = 034510, slaccitation = {%%CITATION = HEP-LAT/9901014;%%}, timestamp = {2009-03-08T15:25:47.000+0100}, title = {{Ginsparg-Wilson-Luescher symmetry and ultralocality}}, url = {http://www.slac.stanford.edu/spires/find/hep/www?irn=3940195}, volume = {D60}, year = 1999 }