Regular Article – Theoretical Physics
An analysis of systematic effects in finite size scaling studies using the gradient flow
John von Neumann Institute for Computing (NIC), DESY, Platanenallee 6, 15738, Zeuthen, Germany
2 Instituto de Física Corpuscular (IFIC), CSIC-Universitat de Valencia, 46071, Valencia, Spain
Accepted: 13 December 2020
Published online: 2 January 2021
We propose a new strategy for the determination of the step scaling function in finite size scaling studies using the gradient flow. In this approach the determination of is broken in two pieces: a change of the flow time at fixed physical size, and a change of the size of the system at fixed flow time. Using both perturbative arguments and a set of simulations in the pure gauge theory we show that this approach leads to a better control over the continuum extrapolations. Following this new proposal we determine the running coupling at high energies in the pure gauge theory and re-examine the determination of the -parameter, with special care on the perturbative truncation uncertainties.
© The Author(s) 2020
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