Ginsparg-Wilson Relation and Ultralocality
High Energy Physics - Lattice
2009-10-31 v2 High Energy Physics - Theory
Abstract
It is shown that it is impossible to construct a free theory of fermions on infinite hypercubic Euclidean lattice in four dimensions that is: (a) ultralocal, (b) respects symmetries of hypercubic lattice, (c) corresponding kernel satisfies D gamma5 + gamma5 D = D gamma5 D (Ginsparg-Wilson relation), (d) describes single species of massless Dirac fermions in the continuum limit.
Keywords
Cite
@article{arxiv.hep-lat/9808002,
title = {Ginsparg-Wilson Relation and Ultralocality},
author = {Ivan Horvath},
journal= {arXiv preprint arXiv:hep-lat/9808002},
year = {2009}
}
Comments
4 pages, REVTEX; few minor changes