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Renormalisation of one-link quark operators for overlap fermions with Lüscher-Weisz gauge action

R. Horsley, H. Perlt, P. E. L. Rakow, G. Schierholz, A. Schiller

hep-latarXiv:hep-lat/0505015

Abstract

We compute lattice renormalisation constants of one-link quark operators ( i.e. operators with one covariant derivative) for overlap fermions and Lüscher-Weisz gauge action in one-loop perturbation theory. Among others, such operators enter the calculation of moments of polarised and unpolarised hadron structure functions. Results are given for β=8.45, β=8.0 and mass parameter ρ=1.4, which are commonly used in numerical simulations. We apply mean field (tadpole) improvement to our results.

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