Logarithmic corrections to $\mathbf{a^2}$ scaling in lattice QCD with Wilson and Ginsparg-Wilson quarks
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 determi...
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| Sprache: | eng |
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| Zusammenfassung: | 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. |
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| DOI: | 10.48550/arxiv.2111.04679 |