2016/12/21 by Bernd A. Berg, D. Clarke, David A. Clarke · 16 citations
Mathematics · Physics and Astronomy · #Balanced flow #Deconfinement #Flow (mathematics) #Gauge theory #Geometry #High-Energy Particle Collisions Research #Lattice (music) #Lattice gauge theory #Mathematical physics #Mathematics #Mechanics #Meteorology #Observable #Particle physics theoretical and experimental studies #Phase transition #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scaling #Statistical physics #hep-lat #nucl-th
paper · pdf · doi:10.1103/physrevd.95.094508
published in Physical review. D/Physical review. D. 95(9) (American Physical Society) · 13 pages, 5 figures
arxiv created 2016/12/21 · openalex publication_date 2017/05/18 · arxiv updated 2017/05/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the approach of pure SU(2) lattice gauge theory with the Wilson action to its continuum limit using the deconfining phase transition, the gradient flow and the cooling flow to set the scale. For the gradient and cooling scales we explore three different energy observables and two distinct reference values for the flow time. When the aim is to follow scaling towards the continuum limit, one gains at least a factor of 100 in computational efficiency by relying on the gradient instead of the deconfinement scale. Using cooling instead of the gradient flow one gains another factor of at least 34 in computational efficiency on the gradient flow part without any significant loss in the accuracy of scale setting. Concerning our observables, the message is to keep it simple. The Wilson action itself performs as well as or even better than the other two observables explored. Two distinct fitting forms for scaling are compared, of which one connects to asymptotic scaling. Differences of the obtained estimates show that systematic errors of length ratios, though only about 1%, can be considerably larger than statistical errors of the same observables.