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 Lüscher-Weisz actions at $\beta =8.45$ and $\beta =8.0$ we present numerical values for the Z factors in the $\overline{MS}$ 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.

Comments: 7 pages