Abstract
After proposing lattice gauge field models in which the Migdal renormalization group recursion formulas are exact, we study the recursion formulas analytically. IfD is less than 4, it is shown that the effective actions ofD-dimensionalU(1) lattice gauge models are uniformly driven to the high temperature region no matter how low the initial temperature is. If the initial temperature is large enough, this holds for anyD and gauge groupG. These are also the cases for the recursion formulas of Kadanoff type. It turns out, however, that the string tension forD=3 obtained by these methods is rather big compared with the one already obtained by Mack, Göpfert and by the present author. The reason is clarified.
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Communicated by G. Mack
On leave of absence from: Dept. of Maths. Bedford College, Regents Park, London NW 1, England
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Ito, K.R. Analytic study of the Migdal-Kadanoff recursion formula. Commun.Math. Phys. 95, 247–255 (1984). https://doi.org/10.1007/BF01468144
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DOI: https://doi.org/10.1007/BF01468144