Ginsparg-Wilson Relation and Ultralocality
Abstract
It is shown that it is impossible to construct a free theory of fermions on infinite hypercubic Euclidean lattice in four dimensions that (a) is ultralocal, (b) respects symmetries of hypercubic lattice, (c) has a corresponding kernel that satisfies Dγ5+γ5D = Dγ5D (Ginsparg-Wilson relation), and (d) describes a single species of massless Dirac fermions in the continuum limit.
- Publication:
-
Physical Review Letters
- Pub Date:
- November 1998
- DOI:
- 10.1103/PhysRevLett.81.4063
- arXiv:
- arXiv:hep-lat/9808002
- Bibcode:
- 1998PhRvL..81.4063H
- Keywords:
-
- High Energy Physics - Lattice;
- High Energy Physics - Theory
- E-Print:
- 4 pages, REVTEX