Volume 396 - The 38th International Symposium on Lattice Field Theory (LATTICE2021) - Oral presentation
Stout-smearing, gradient flow and $c_{\text{SW}}$ at one loop order
M. Ammer* and S. Durr
Full text: pdf
Pre-published on: May 16, 2022
Published on:
Abstract
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.
DOI: https://doi.org/10.22323/1.396.0407
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