Logarithmic corrections to $\mathbf{a^2}$ scaling in lattice Yang Mills theory
High Energy Physics - Lattice
2019-12-05 v1
Abstract
We analyse the leading logarithmic corrections to the 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(), which is in progress.
Keywords
Cite
@article{arxiv.1912.02058,
title = {Logarithmic corrections to $\mathbf{a^2}$ scaling in lattice Yang Mills theory},
author = {Nikolai Husung and Peter Marquard and Rainer Sommer},
journal= {arXiv preprint arXiv:1912.02058},
year = {2019}
}
Comments
7 pages. Contribution to the 37th International Symposium on Lattice Field Theory (LATTICE2019), 16-22 June 2019, Wuhan, China