Renormalization group approach to lattice gauge field theories - I. Generation of effective actions in a small field approximation and a coupling constant renormalization in four dimensions

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Abstract

We study four-dimensional pure gauge field theories by the renormalization group approach. The analysis is restricted to small field approximation. In this region we construct a sequence of localized effective actions by cluster expansions in one step renormalization transformations. We construct also β-functions and we define a coupling constant renormalization by a recursive system of renormalization group equations.

Original languageEnglish (US)
Pages (from-to)249-301
Number of pages53
JournalCommunications In Mathematical Physics
Volume109
Issue number2
DOIs
StatePublished - Jun 1987
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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