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Brief communications

The renormalization group flow properties in the neighborhood of the Gaussian fixed point

A. F. Shamsutdinov

Chair of Data Analysis and Operations Research, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia

Abstract: We investigate a dynamics of renormalization group transformation in the fermionic hierarchical model given by the lagrangian. We construct the invariant neighborhood of the Gaussian fixed point in the upper half-plane. We describe the subsets of the points of this neighborhood tending to the Gaussian fixed point under the iterations of the renormalization group transformation from the left and from the right.

Keywords: renomalization group, fermionic hierarchical model, Gaussian fixed point.

UDC: 517.987

Presented by the member of Editorial Board: M. D. Missarov
Received: 26.03.2014

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2014, 58:9, 71–75

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