Revealing Topological Structure in the SU(2) Vacuum

Details Revealing Topological Structure in the SU(2) Vacuum Revealing Topological Structure in the SU(2) Vacuum

1997-11-17

arxiv.org/abs/hep-lat/9711032v1

Nucl.Phys. B520 (1998) 301-322

Physics

High Energy Physics

High Energy Physics - Lattice

28 pages, LaTeX, 7 eps figures

Scientific paper

10.1016/S0550-3213(98)00181-3

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, chi^1/4=220(6) MeV, agrees with our earlier results.

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