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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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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.

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  1. Department of Physics, Lyman Laboratory, Harvard University, 02138, Cambridge, MA, USA

    Tadeusz Bałaban

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Communicated by A. Jaffe

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Bałaban, T. Renormalization group approach to lattice gauge field theories. Commun.Math. Phys. 109, 249–301 (1987). https://doi.org/10.1007/BF01215223

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