The scaling of exact and approximate Ginsparg– Wilson fermions (CROSBI ID 230413)
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Bietenholz, Wolfgang ; Hip, Ivan
engleski
The scaling of exact and approximate Ginsparg– Wilson fermions
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.
Lattice fermions ; Chiral symmetry ; Cutoff artifacts ; Schwinger model
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