TY - CONF
AU - Ammer, Maximilian
AU - Durr, Stephan
TI - Stout-smearing, gradient flow and $c_{\text{SW}}$ at one loop order
VL - 396
PB - Sissa Medialab Trieste, Italy
M1 - FZJ-2023-00116
SP - 407
PY - 2022
N1 - 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
AB - 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.
T2 - 38th International Symposium on Lattice Field Theory
CY - 26 Jul 2021 - 30 Jul 2021, MIT, Boston (virtual) (USA)
Y2 - 26 Jul 2021 - 30 Jul 2021
M2 - MIT, Boston (virtual), USA
LB - PUB:(DE-HGF)8 ; PUB:(DE-HGF)7
DO - DOI:10.22323/1.396.0407
UR - https://juser.fz-juelich.de/record/916813
ER -