Contribution to a conference proceedings/Contribution to a book

FZJ-2023-00116

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Stout-smearing, gradient flow and $c_{\text{SW}}$ at one loop order

Ammer, M. ; Durr, S. (Corresponding author)FZJ*

2022
Sissa Medialab Trieste, Italy

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Please use a persistent id in citations: http://hdl.handle.net/2128/33395  doi:10.22323/1.396.0407

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.

Note: 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

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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 5111 - Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups (POF4-511) (POF4-511)

Appears in the scientific report 2022

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