2024/11/22 by Yuya Tanizaki, Akio Tomiya, Tanizaki, Yuya +3 · 1 citation
Engineering · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Hydrocarbon exploration and reservoir analysis #Nuclear Theory (nucl-th)
paper · pdf · doi:10.48550/arxiv.2411.14812
openalex publication_date 2024/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the stability of topological charge under gradient flow taking the admissibility condition into account. For the SU(2) Wilson gauge theory with β=2.45 and L4=124, we numerically show that the gradient flows with the Iwasaki and DBW2 gauge actions stabilize the topological sectors significantly, and they have qualitatively different behaviors compared with the Wilson and tree-level Symanzik flows. By considering the classical continuum limit of the flow actions, we discuss that the coefficient of dimension-6 operators has to be positive for stabilizing the one-instanton configuration, and the Iwasaki and DBW2 actions satisfy this criterion while the Wilson and Symanzik actions do not. Moreover, we observe that the DBW2 flow stabilizes the topological sectors at the very early stage of the flow (t≈ 0.5--1), suggesting that a further systematic investigation of the DBW2 flow is warranted to confirm its computational efficiency in determining the gauge topology.