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. (English) Zbl 0611.53080
The author studies four-dimensional pure gauge field theories by the renormalization group approach. The analysis is restricted to small field approximation. In this region he constructs a sequence of localized effective actions by cluster expansions in one step renormalization transformations. He also defines a coupling constant renormalization by a recursive system of renormalization group equations.
Reviewer: M.Martellini
MSC:
| 53C80 | Applications of global differential geometry to the sciences |
| 81T17 | Renormalization group methods applied to problems in quantum field theory |
Keywords:
gauge field theories; renormalization group; effective actions; renormalization transformationsReferences:
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