PoS - Proceedings of Science
Volume 396 - The 38th International Symposium on Lattice Field Theory (LATTICE2021) - Oral presentation
Logarithmic corrections to $a^2$ scaling in lattice QCD with Wilson and Ginsparg-Wilson quarks
N. Husung*, P. Marquard and R. Sommer
Full text: pdf
Pre-published on: May 16, 2022
Published on: July 08, 2022
Abstract
We analyse the leading logarithmic corrections to the $a^2$ scaling of lattice artefacts in QCD, following the seminal work of Balog, Niedermayer and Weisz in the O(n) non-linear sigma model. Limiting the discussion to contributions from the action, the leading logarithmic corrections can be determined by the anomalous dimensions of mass-dimension 6 operators. These operators form a minimal on-shell basis of the Symanzik Effective Theory. We present results for non-perturbatively O($a$) improved Wilson and Ginsparg-Wilson quarks.
DOI: https://doi.org/10.22323/1.396.0442
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