Abstract
With the use of analyticity techniques recently developed by the authors, the ε- and 1/N-expansion type arguments are turned into a rigorous control of the non-Gaussian fixed point of the hierarchical model renormalization group. The present approach should extend beyond the hierarchical approximation and result in mathematical theory of the critical point of statistical mechanics or quantum field theory in three dimensions for small ε or largeN.
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Communicated by A. Jaffe
On leave from Department of Mathematical Methods of Physics, Warsaw University
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Gawędzki, K., Kupiainen, A. Non-Gaussian fixed points of the block spin transformation. Hierarchical model approximation. Commun.Math. Phys. 89, 191–220 (1983). https://doi.org/10.1007/BF01211827
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DOI: https://doi.org/10.1007/BF01211827