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

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

2005-09-21

arxiv.org/abs/hep-lat/0509072v2

PoS LAT2005:238,2006

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages

Scientific paper

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 $\beta=8.45$ and $\beta=8.0$ we present numerical values for the Z factors in the $\bar{MS}$ 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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