This article is cited in 3 papers

Renormalization group in a fermionic hierarchical model in projective coordinates

M. D. Missarov

Kazan (Volga Region) Federal University, Kazan, Russia

Abstract: We study the renormalization group action in a fermionic hierarchical model in the space of coefficients determining the Grassmann-valued density of the free measure. This space is interpreted as the two-dimensional projective space. The renormalization group map is a homogeneous quadratic map and has a special geometric property that allows describing invariant sets and the global dynamics in the whole space.

Keywords: fermionic model, hierarchical lattice, renormalization group, projective space, invariant set, dynamics.

Received: 13.04.2012
Revised: 10.05.2012

DOI: 10.4213/tmf8345

 English version: Theoretical and Mathematical Physics, 2012, 173:3, 1637–1643

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