Ginsparg-Wilson-Luscher Symmetry and Ultralocality

Details Ginsparg-Wilson-Luscher Symmetry and Ultralocality Ginsparg-Wilson-Luscher Symmetry and Ultralocality

1999-01-21

arxiv.org/abs/hep-lat/9901014v2

Phys.Rev.D60:034510,1999

Physics

High Energy Physics

High Energy Physics - Lattice

18 pages, LATEX. For clarity changed to infinitesimal transformations, typos corrected, explicit hypothesis added

Scientific paper

10.1103/PhysRevD.60.034510

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.

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