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

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

2007-10-04

arxiv.org/abs/0710.0990v1

PoSLAT2007:250,2007

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 1 figure, contribution to Lattice 2007

Scientific paper

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.

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