REVEALING TOPOLOGICAL-STRUCTURE IN THE SU(2) VACUUM

Citation
T. Degrand et al., REVEALING TOPOLOGICAL-STRUCTURE IN THE SU(2) VACUUM, Nuclear physics. B, 520(1-2), 1998, pp. 301-322
Citations number
34
Categorie Soggetti
Physics, Particles & Fields","Physics, Nuclear
Journal title
ISSN journal
05503213
Volume
520
Issue
1-2
Year of publication
1998
Pages
301 - 322
Database
ISI
SICI code
0550-3213(1998)520:1-2<301:RTITSV>2.0.ZU;2-X
Abstract
In this paper we derive a simple parametrization of the cycling method developed by us in our earlier work. The new method, called renormali zation 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-ant i-instanton pairs behave under the RG mapping transformation. We use t he RG-mapping technique to study the topological susceptibility and in stanton size distribution of SU(2) gauge theory. We find scaling in bo th quantities in a wide range of coupling values. Our result for the t opological susceptibility, chi(1/4) = 220(6) MeV, agrees with our earl ier results. (C) 1998 Elsevier Science B.V.