paper

Ginsparg-Wilson Relation and Ultralocality

arXiv:hep-lat/9808002 · doi:10.1103/PhysRevLett.81.4063

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.

4 pages, REVTEX; few minor changes

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