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# Perturbative determination of $c_{SW}$ with Symanzik improved gauge action and stout smearing

Horsley, Roger; Perlt, Holger; Schiller, Arwed; Rakow, Paul E.L. and Schierholz, Gerrit (2007) Perturbative determination of $c_{SW}$ with Symanzik improved gauge action and stout smearing. In: The XXV International Symposium on Lattice Field Theory, July 30 - August 4, 2007, Regensburg, Germany.

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## Abstract

We determine the improvement factor $c_{SW}$ in one-loop lattice perturbation theory for the plaquette and Symanzik improved gauge actions. The fermionic action is ${\mathcal{O}(a)}$ clover improved with one-time stout smearing. $c_{SW}$ is derived from the one-loop correction to the quark-quark-gluon vertex in the off-shell regime. We give a first numerical value for the one-loop contribution to the non gauge-invariant improvement coefficient $c_{NGI}$ for the quark field using the plaquette action. A discussion of mean field improvement is included.

Item Type: Conference or Workshop Item (Paper) LTH - 763; arXiv Number: arXiv:0710.0990v1. Additional citation information: PoS(LATTICE 2007)250 Conference ID: Lattice 2007. Article ID: 250. 7 pages. Perurbation theory; plaquette; fermionic; quark-quark-gluon vertex 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 350 15 Aug 2008 14:51 06 Mar 2012 09:22

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