Abstract
We give a new proof for the existence of a non-Gaussian hierarchical renormalization group fixed point, using what could be called a beta-function for this problem. We also discuss the asymptotic behavior of this fixed point, and the connection between the hierarchical models of Dyson and Gallavotti.
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Communicated by A. Jaffe
Supported in Part by the National Science Foundation under Grant No. DMS-8802590
Supported in Part by the Swiss National Science Foundation
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Koch, H., Wittwer, P. On the renormalization group transformation for scalar hierarchical models. Commun.Math. Phys. 138, 537–568 (1991). https://doi.org/10.1007/BF02102041
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DOI: https://doi.org/10.1007/BF02102041