Ginsparg-Wilson Relation and Ultralocality

Details Ginsparg-Wilson Relation and Ultralocality Ginsparg-Wilson Relation and Ultralocality

1998-08-04

arxiv.org/abs/hep-lat/9808002v2

Phys.Rev.Lett. 81 (1998) 4063-4066

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages, REVTEX; few minor changes

Scientific paper

10.1103/PhysRevLett.81.4063

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.

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