1995/06/27 by T. DeGrand, Thomas DeGrand, Anna Hasenfratz +5 · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat
paper · pdf · doi:10.1016/0550-3213(95)00459-6
published as Nucl.Phys. B454 (1995) 615-637 · 28 pages (latex) + 11 figures (Postscript), uuencoded
arxiv created 1995/06/27 · openalex publication_date 1995/11/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this paper (the second of a series) we extend our calculation of a classical fixed point action for lattice SU(3) pure gauge theory to include gauge configurations with large fluctuations. The action is parameterized in terms of closed loops of link variables. We construct a few-parameter approximation to the classical FP action which is valid for short correlation lengths. We perform a scaling test of the action by computing the quantity G = L √(σ(L)) where the string tension σ(L) is measured from the torelon mass μ= L σ(L). We measure G on lattices of fixed physical volume and varying lattice spacing a (which we define through the deconfinement temperature). While the Wilson action shows scaling violations of about ten per cent, the approximate fixed point action scales within the statistical errors for 1/2 ≥ aTc ≥ 1/6. Similar behaviour is found for the potential measured in a fixed physical volume.