This article is cited in 16 papers

RG-invariant curves in the fermionic hierarchical model

M. D. Missarov

Kazan State University

Abstract: In the fermionic hierarchical model, we investigate the renormalization group transformation given by a rational mapping in the coupling constant plane. We construct sections of stable invariant curves for all fixed points of this transformation. These curves are graphs of smooth functions, for which we give the upper and the lower estimates.

Received: 22.05.1997
Revised: 08.12.1997

DOI: 10.4213/tmf843

 English version: Theoretical and Mathematical Physics, 1998, 114:3, 255–265

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