1995/08/23 by Thomas DeGrand, T. DeGrand, A. Hasenfratz +4 · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat
paper · pdf · doi:10.1016/0370-2693(95)01233-8
published as Phys.Lett. B365 (1996) 233-238 · 11 pages, uuencoded compressed postscript file
arxiv created 1995/08/23 · openalex publication_date 1996/01/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We summarize our recent work on the construction and properties of fixed point (FP) actions for lattice SU(3) pure gauge theory. These actions have scale invariant instanton solutions and their spectrum is exact through 1--loop, i.e. in their physical predictions there are no an nor g2 an cut--off effects for any n. We present a few-parameter approximation to a 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), on lattices of fixed physical volume and varying lattice spacing a. 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.