%0 Conference Paper
%A Ammer, Maximilian
%A Durr, Stephan
%T Stout-smearing, gradient flow and $c_{\text{SW}}$ at one loop order
%V 396
%I Sissa Medialab Trieste, Italy
%M FZJ-2023-00116
%P 407
%D 2022
%Z 7 pages, 1 figure, talk given at the 38th International Symposium on Lattice Field Theory (LATTICE2021), 26th-30th July 2021, Zoom/Gather@Massachusetts Institute of Technology
%< Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021) - Sissa Medialab Trieste, Italy, 2022. - ISBN - doi:10.22323/1.396.0407
%X The one-loop determination of the coefficient $c_\text{SW}$ of the Wilson quark action has been useful to push the leading cut-off effects for on-shell quantities to $\mathcal{O}(\alpha^2 a)$ and, in conjunction with non-perturbative determinations of $c_\text{SW}$, to $\mathcal{O}(a^2)$, as long as no link-smearing is employed. These days it is common practice to include some overall link-smearing into the definition of the fermion action. Unfortunately, in this situation only the tree-level value $c_\text{SW}^{(0)}=1$ is known, and cut-off effects start at $\mathcal{O}(\alpha a)$. We present some general techniques for calculating one loop quantities in lattice perturbation theory which continue to be useful for smeared-link fermion actions. Specifically, we discuss the application to the 1-loop improvement coefficient $c_\text{SW}^{(1)}$ for overall stout-smeared Wilson fermions.
%B 38th International Symposium on Lattice Field Theory
%C 26 Jul 2021 - 30 Jul 2021, MIT, Boston (virtual) (USA)
Y2 26 Jul 2021 - 30 Jul 2021
M2 MIT, Boston (virtual), USA
%F PUB:(DE-HGF)8 ; PUB:(DE-HGF)7
%9 Contribution to a conference proceedingsContribution to a book
%R 10.22323/1.396.0407
%U https://juser.fz-juelich.de/record/916813