Logarithmic corrections to a² scaling in lattice Yang Mills theory

2019/12/04 by Husung, Nikolai, Marquard, Peter, Sommer, Rainer
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat)

paper · doi:10.48550/arxiv.1912.02058

Abstract

We analyse the leading logarithmic corrections to the a² 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(a²), which is in progress.

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