PoS - Proceedings of Science
Volume 396 - The 38th International Symposium on Lattice Field Theory (LATTICE2021) - Poster
Advances in lattice hadron physics calculations using the gradient flow
J. Zanotti*, K.U. Can, R. Horsley, Y. Nakamura, H. Perlt, P. Rakow, G. Schierholz, H. Stueben and R. Young
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Pre-published on: May 16, 2022
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Abstract
Lattice calculations of hadronic observables are aggravated by short-distance fluctuations. The gradient flow, which can be viewed as a particular realisation of the coarse-graining step of momentum space RG transformations, proves a powerful tool for evolving the lattice gauge field to successively longer length scales for any initial coupling. Already at small flow times we find the signal-to-noise ratio of two- and three-point functions significantly enhanced and the projection onto the ground state largely improved, while the effect on the hadronic observables considered here to be negligible. A further benefit is that far fewer conjugate gradient iterations are needed for the Wilson-Dirac inverter to converge. Additionally, we find the renormalisation constants of quark bilinears to be significantly closer to unity.
DOI: https://doi.org/10.22323/1.396.0055
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