Revealing topological structure in the SU (2) vacuum

Thomas DeGrand, Anna Hasenfratz, Tamás G. Kovács

Research output: Contribution to journalArticle

69 Citations (Scopus)


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, X1/4 = 220(6) MeV, agrees with our earlier results.

Original languageEnglish
Pages (from-to)301-322
Number of pages22
JournalNuclear Physics B
Issue number1-2
Publication statusPublished - Jun 1 1998

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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