Perturbative renormalisation of quark bilinear operators for overlap fermions with and without stout links and improved gauge action

Abstract

We calculate lattice renormalisation constants of local and one-link quark operators for overlap fermions and improved gauge actions in one-loop perturbation theory. For the local operators we stout smear the SU(3) links in the fermionic action. Using the popular tadpole improved L\"uscher-Weisz actions at β=8.45 and β=8.0 we present numerical values for the Z factors in the MS scheme (partly as function of the stout smearing strength). We compare various levels of mean field (tadpole) improvement which have been applied to our results.

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