Ginsparg-Wilson-Luscher Symmetry and Ultralocality
High Energy Physics - Lattice
2011-04-20 v2 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.hep-lat/9901014,
title = {Ginsparg-Wilson-Luscher Symmetry and Ultralocality},
author = {Ivan Horvath},
journal= {arXiv preprint arXiv:hep-lat/9901014},
year = {2011}
}
Comments
18 pages, LATEX. For clarity changed to infinitesimal transformations, typos corrected, explicit hypothesis added