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arXiv · hep-lat/9902019

The Scaling of Exact and Approximate Ginsparg-Wilson Fermions

W. Bietenholz·I. Hip
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Abstract

We construct a number of lattice fermions, which fulfill the Ginsparg-Wilson relation either exactly or approximately, and test them in the framework of the 2-flavor Schwinger model. We start from explicit approximations within a short range, and study this formulation, as well as its correction to an exact Ginsparg-Wilson fermion by the ``overlap formula''. Then we suggest a new method to realize this correction perturbatively, without using the tedious square root operator. In this way we combine many favorable properties: good chiral behavior, small mass renormalization, excellent scaling and rotational invariance, as well as a relatively modest computational effort, which makes such formulations most attractive for QCD.

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W. Bietenholz, I. Hip. 1999-11-04. The Scaling of Exact and Approximate Ginsparg-Wilson Fermions. https://doi.org/10.1016/s0550-3213(99)00477-0

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