On the absence of ultralocal Ginsparg-Wilson fermions
Jan, 1999Citations per year
Abstract:
It was shown recently by I. Horvath that lattice fermions obeying the standard form of the Ginsparg-Wilson relation cannot be ultralocal. However, there are more general forms of the Ginsparg-Wilson relation, which also guarantee the physical properties related to chirality, but which are not covered by Horvath's consideration. Here we present a proof which applies to all Ginsparg-Wilson fermions, demonstrating that they can only be local in the sense of an exponential decay of their couplings, but not ultralocal.- fermion: lattice field theory
- operator: Dirac
- symmetry: chiral
- operator: local
- coupling: decay
- Ginsparg-Wilson relation
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