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Communications in Mathematical Physics

, Volume 109, Issue 2, pp 249–301 | Cite as

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
  • Tadeusz Bałaban
Article

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.

Keywords

Neural Network Renormalization Group Quantum Computing Effective Action Group Equation 
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Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • Tadeusz Bałaban
    • 1
  1. 1.Department of Physics, Lyman LaboratoryHarvard UniversityCambridgeUSA

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