1997/11/17 by Thomas DeGrand, Anna Hasenfratz, Tamás G. Kovács +1 · 2 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/s0550-3213(98)00181-3
published as Nucl.Phys. B520 (1998) 301-322 · 28 pages, LaTeX, 7 eps figures
arxiv created 1997/11/17 · openalex publication_date 1998/06/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this paper we derive a simple parametrization of the cycling method developed by us in our earlier work. The new method, called renormalization group (RG) mapping, consists of a series of carefully tuned APE-smearing steps. We study the relation between cycling and RG mapping. We also investigate in detail how smooth instantons and instanton-anti-instanton pairs behave under the RG mapping transformation. We use the RG mapping technique to study the topological susceptibility and instanton size distribution of SU(2) gauge theory. We find scaling in both quantities in a wide range of coupling values. Our result for the topological susceptibility, chi1/4=220(6) MeV, agrees with our earlier results.