Scaling and topological charge of a fixed-point action for SU(2) gauge theory

1996/04/18 by Thomas DeGrand, T DeGrand, Anna Hasenfratz +1 · 56 citations
Physics and Astronomy · #Bridging (networking) #Deconfinement #Gauge theory #High-Energy Particle Collisions Research #Lattice (music) #Lattice field theory #Lattice gauge theory #Mass gap #Monte Carlo method #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Scaling #Topological quantum number #hep-lat

paper · pdf · doi:10.1016/0550-3213(96)00419-1

published in Nuclear Physics B 478(1-2), 349-364 (Elsevier BV) · 27 pages of Latex including 12 postscript figures

arxiv created 1996/04/18 · openalex publication_date 1996/10/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We construct a few parameter approximate fixed point action for SU(2) pure gauge theory and subject it to scaling tests, via Monte Carlo simulation. We measure the critical coupling for deconfinement for lattices of temporal extent N_t=2, 3, 4, the torelon mass at fixed physical volume, and the string tension (and heavy quark potential) from Wilson loops. We calculate the topological susceptibility using inverse blocking and show that it scales over the observed range of lattice spacings.

Cited by

• Gauge invariant field strength correlators from RG smoothing and color correlations between topological charge clusters
• Absence of evidence for pentaquarks on the lattice
• The Euclidean two-point correlation function of the topological charge density
• The overlap formalism and topological susceptibility on the lattice