Averaging operations for lattice gauge theories

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21 Scopus citations


Usually renormalization group transformations are defined by some averaging operations. In this paper we study such operations for lattice gauge fields and for gauge transformations. We are interested especially in characterizing some classes of field configurations on which the averaging operations are regular (e.g., analytic). These results will be used in subsequent papers on the renormalization group method in lattice gauge theories.

Original languageEnglish (US)
Pages (from-to)17-51
Number of pages35
JournalCommunications In Mathematical Physics
Issue number1
StatePublished - Mar 1985
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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