Logarithmic corrections to ${\mathbf{a}}^2$ scaling in lattice QCD with Wilson and Ginsparg-Wilson quarks

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.

Comments: 7 pages, 3 figures, Proceedings of The 38th International Symposium on Lattice Field Theory, LATTICE2021 26th-30th July, 2021 Zoom/Gather@Massachusetts Institute of Technology. Multiplied a proper power of $(2b_0{)}^{n_j^{\mathrm{I}}}$ where needed