Improving the continuum limit of gradient flow step scaling

Cheng, Anqi, Hasenfratz, Anna, Liu, Yuzhi, Petropoulos, Gregory and Schaich, David ORCID: 0000-0002-9826-2951 (2014) Improving the continuum limit of gradient flow step scaling JOURNAL OF HIGH ENERGY PHYSICS, 2014 (5). 137-. ISSN 1029-8479, 1029-8479

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Abstract

We introduce a non-perturbative improvement for the renormalization group step scaling function based on the gradient flow running coupling, which may be applied to any lattice gauge theory of interest. Considering first SU(3) gauge theory with Nf = 4 massless staggered fermions, we demonstrate that this improvement can remove O(asup2/sup) lattice artifacts, and thereby increases our control over the continuum extrapolation. Turning to the 12-flavor system, we observe an infrared fixed point in the infinite-volume continuum limit. Applying our proposed improvement reinforces this conclusion by removing all observable O(asup2/sup) effects. For the finite-volume gradient flow renormalization scheme defined by c = √8t/L = 0.2, we find the continuum conformal fixed point to be located at gsup2/sup = 6.2(2).

Item Type:	Article
Additional Information:	12 pages, 4 figures; Minor changes, published version
Uncontrolled Keywords:	Renormalization Group, Lattice Quantum Field Theory
Depositing User:	Symplectic Admin
Date Deposited:	13 Mar 2020 14:37
Last Modified:	16 Jun 2026 11:19
DOI:	10.1007/JHEP05(2014)137
Related Websites:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3078894
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