Ginsparg-Wilson-Lüscher Symmetry and Ultralocality
نویسنده
چکیده
Important recent discoveries suggest that Ginsparg-Wilson-Lüscher (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 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.1
منابع مشابه
Comment on Hep-lat/9901005 V1-v3 by W. Bietenholz
I comment on the above paper(s) discussing the issue of non-ultralocality for GinspargWilson fermionic actions. The purpose of this note is to point out that the new claim in “v3” (Feb 24, 2000), alleging the proof of non-ultralocality for “all Ginsparg-Wilson fermions”, might not be substantiated. The remarkable evolution of versions of this paper is put in context with the literature existing...
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