Advances in lattice hadron physics calculations using the gradient flow
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.
Cite
@article{arxiv.2112.06355,
title = {Advances in lattice hadron physics calculations using the gradient flow},
author = {K. U. Can and R. Horsley and Y. Nakamura and H. Perlt and P. E. L. Rakow and G. Schierholz and H. Stüben and R. D. Young and J. M. Zanotti},
journal= {arXiv preprint arXiv:2112.06355},
year = {2021}
}
Comments
8 pages, 6 figures. Contribution to the 38th International Symposium on Lattice Field Theory, LATTICE2021 26th-30th July, 2021 Zoom/Gather@Massachusetts Institute of Technology