2021/09/20 by Curtis T. Peterson, Anna Hasenfratz, Peterson, Curtis T. +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.2109.09720
openalex publication_date 2021/09/20 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
In infinite volume the gradient flow transformation can be interpreted as a continuous real-space Wilsonian renormalization group (RG) transformation. This approach allows one to determine the continuous RG β function, an alternative to the finite-volume step-scaling function. Unlike step-scaling, where the lattice must provide the only scale, the continuous β function can be used even in the confining regime where dimensional transmutation generates a physical scale ΛQCD. We investigate a pure gauge SU(3) Yang-Mills theory both in the deconfined and the confined phases and determine the continuous β function in both. Our investigation is based on simulations done with the tree-level Symanzik gauge action on lattice volumes up to 324 using both Wilson and Zeuthen gradient flow (GF) measurements. Our continuum GF β function exhibits considerably slower running than the universal 2-loop perturbative prediction, and at strong couplings it runs even slower than the 1-loop prediction.