2001/06/30 by Frederic D. R. Bonnet, Frédéric Bonnet, Derek B. Leinweber +3 · 39 citations
Mathematics · Physics and Astronomy · #Algorithm #Gauge (firearms) #Gauge theory #Hamiltonian lattice gauge theory #Lattice (music) #Lattice field theory #Lattice gauge theory #Materials science #Mathematical analysis #Mathematics #Particle physics theoretical and experimental studies #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Smoothing #Smoothness #Statistics #hep-lat
paper · pdf · doi:10.1103/physrevd.65.114510
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 65(11) (American Physical Society)
arxiv created 2002/02/04 · openalex publication_date 2002/06/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The relative smoothing rates of various gauge field smoothing algorithms are investigated on O(a2)-improved SU(3) Yang-Mills gauge field configurations. In particular, an O(a2)-improved version of APE smearing is motivated by considerations of smeared link projection and cooling. The extent to which the established benefits of improved cooling carry over to improved smearing is critically examined. We consider representative gauge field configurations generated with an O(a2)-improved gauge field action on 163\ifmmode×\else\texttimes\fi32 lattices at \ensuremathβ=4.38 and 243\ifmmode×\else\texttimes\fi36 lattices at \ensuremathβ=5.00 having lattice spacings of 0.165(2) fm and 0.077(1) fm, respectively. While the merits of improved algorithms are clearly displayed for the coarse lattice spacing, the fine lattice results put the various algorithms on a more equal footing and allow a quantitative calibration of the smoothing rates for the various algorithms. We find the relative rate of variation in the action may be succinctly described in terms of simple calibration formulas which accurately describe the relative smoothness of the gauge field configurations at a microscopic level.