This article is cited in 9 papers

Global flow of renormalization group and thermodynamic limit for the hierarchical fermionic model

É. Yu. Lerner, M. D. Missarov

Kazan State University

Abstract: The renormalization group transformation for the hierarchical fermionic model is given as a rational map in the plane of the coupling constants. We investigate the global flow of this transformation. The existence of the thermodynamic limit in the domain under investigation is proved. The automodel limit of the constructed fields is described.

Received: 16.08.1995

DOI: 10.4213/tmf1149

 English version: Theoretical and Mathematical Physics, 1996, 107:2, 579–588

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