Logarithmic corrections to \a² scaling in lattice QCD with\n Wilson and Ginsparg-Wilson quarks

2021/11/08 by Nikolai Husung, Husung, Nikolai, Peter Marquard +3
Physics and Astronomy · #Quantum Chromodynamics and Particle Interactions #Particle physics theoretical and experimental studies #High-Energy Particle Collisions Research

paper · pdf · doi:10.48550/arxiv.2111.04679

Abstract

We analyse the leading logarithmic corrections to the a² scaling of\nlattice artefacts in QCD, following the seminal work of Balog, Niedermayer and\nWeisz in the O(n) non-linear sigma model. Limiting the discussion to\ncontributions from the action, the leading logarithmic corrections can be\ndetermined by the anomalous dimensions of mass-dimension 6 operators. These\noperators form a minimal on-shell basis of the Symanzik Effective Theory. We\npresent results for non-perturbatively O(a) improved Wilson and\nGinsparg-Wilson quarks.\n

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