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Volume 363 - 37th International Symposium on Lattice Field Theory (LATTICE2019) - Main session
Logarithmic Corrections to $a^2$ scaling in lattice Yang Mills theory
N. Husung,* P. Marquard, R. Sommer
*corresponding author
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Pre-published on: 2020 January 04
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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. Restricting our attention to contributions from the action, the leading logarithmic corrections can be determined by the anomalous dimensions of a minimal on-shell basis of mass-dimension 6 operators. We present results for the SU(N) pure gauge theory. In this theory the logarithmic corrections reduce the cutoff effects. These computations are the first step towards a study of full lattice QCD at O($a^2$), which is in progress.
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