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

Horsley, R.; Perlt, H.; Rakow, P.E.L.; Schierholz, G. and Schiller, A. (2005) Perturbative renormalisation of quark bilinear operators for overlap fermions with and without stout links and improved gauge action. In: XXIIIrd International Symposium on Lattice Field Theory, 25-30 July 2005, Trinity College, Dublin, Ireland.

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## 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 $\beta=8.45$ 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.

Item Type: Conference or Workshop Item (Paper) LTH 667; arXiv Number: arXiv:hep-lat/0509072v2. Additional citation information: PoS LAT2005 (2005) 238. Article ID: 238. 6 pages. lattice renormalisation; localq uark operators ; one-link quark operators; one-loop perturbation theory; fermionic action Q Science > QC Physics Academic Faculties, Institutes and Research Centres > Faculty of Science > Department of Mathematical Sciences Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence. The author(s) and right holder(s) of such contributions grant(s) to all users a free, irrevocable, worldwide, right of access to, and a license to copy, use, distribute, transmit and display the work publicly and to make and distribute derivative works, in any digital medium for any responsible purpose, subject to proper attribution of authorship (community standards, will continue to provide the mechanism for enforcement of proper attribution and responsible use of the published work, as they do now), as well as the right to make small numbers of printed copies for their personal use. Yes Published 405 18 Aug 2008 12:06 20 May 2011 15:54

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