Advances in lattice hadron physics calculations using the gradient flow



Zanotti, James, Can, K Utku, Horsley, Roger, Nakamura, Yoshifumi, Perlt, Holger, Rakow, Paul ORCID: 0000-0003-4486-2158, Schierholz, Gerrit, Stueben, Hinnerk and Young, Ross
(2022) Advances in lattice hadron physics calculations using the gradient flow. In: The 38th International Symposium on Lattice Field Theory, 2021-7-25 - ?.

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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.

Item Type: Conference or Workshop Item (Unspecified)
Divisions: Faculty of Science and Engineering > School of Physical Sciences
Depositing User: Symplectic Admin
Date Deposited: 13 Sep 2022 14:13
Last Modified: 15 Mar 2024 15:19
DOI: 10.22323/1.396.0055
Open Access URL: https://arxiv.org/pdf/2112.06355.pdf
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3164557