Improving the continuum limit of gradient flow step scaling

2014/04/30 by Anqi Cheng, Anna Hasenfratz, Yuzhi Liu +2 · 4 citations
Physics and Astronomy · #Balanced flow #Black Holes and Theoretical Physics #Fixed point #High-Energy Particle Collisions Research #Infrared fixed point #Lattice (music) #Massless particle #Observable #Quantum Chromodynamics and Particle Interactions #Renormalization #Renormalization group #Scaling #hep-lat

paper · pdf · doi:10.1007/jhep05(2014)137

published as JHEP 1405 (2014) 137 · 12 pages, 4 figures; Minor changes, published version

openalex publication_date 2014/05/01 · arxiv created 2014/06/07 · arxiv updated 2014/06/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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 N f = 4 massless staggered fermions, we demonstrate that this improvement can remove O( a² ) 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( a² ) 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 g_⋆²=6.2(2) .

Citations

• Trivializing maps, the Wilson flow and the HMC algorithm

Cited by

• The lattice gradient flow at tree-level and its improvement
• Dilaton EFT framework for lattice data
• The twelve-flavor β-function and dilaton tests of the sextet scalar
• Status of a minimal composite Higgs theory