Determination of Reference Scales for Wilson Gauge Action from Yang--Mills Gradient Flow

2015/03/23 by Masayuki Asakawa, Takumi Iritani, Asakawa, Masayuki +5
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1503.06516

openalex publication_date 2015/03/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A parametrization of the lattice spacing (a) in terms of the bare coupling (β) for the SU(3) Yang--Mills theory with the Wilson gauge action is given in a wide range of~β. The Yang--Mills gradient flow with respect to the flow time~t for the dimensionless observable, t(d)/(dt)t²⟨ E(t)⟩, is utilized to determine the parametrization. With fine lattice spacings (6.3≤β≤7.5) and large lattice volumes (N_{\rm s}=64--128), the discretization and finite-volume errors are significantly reduced to the same level as the statistical error.

Citations

• Future applications of the Yang-Mills gradient flow in lattice QCD

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