Step Scaling with Off Shell Renormalization
Rudy Arthur, Peter A. Boyle
TL;DR
This paper introduces a novel method for computing renormalization constants nonperturbatively using the Rome Southampton scheme, enabling precise continuum extrapolations and step scaling function calculations.
Contribution
The paper presents a new approach for off-shell renormalization with volume sources and arbitrary momenta, improving accuracy and applicability in lattice QCD calculations.
Findings
Enables controlled continuum extrapolations
Allows nonperturbative computation of operator running
Provides examples of lattice step scaling functions
Abstract
A method for computing renormalization constants in the Rome Southampton scheme with volume sources and arbitrary momenta is described. This new method is found to enable controlled and precise continuum extrapolations and opens the way to compute the running of operators nonperturbatively in the Rome Southampton scheme. We describe this in detail and exhibit several examples of lattice step scaling functions.
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Taxonomy
TopicsAdvanced Numerical Methods in Computational Mathematics · Computational Fluid Dynamics and Aerodynamics · High-Energy Particle Collisions Research