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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 9, Pages 87–92
(Mi ivm8934)
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This article is cited in 1 scientific paper (total in 1 paper)
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.
Citation:
A. F. Shamsutdinov, “The renormalization group flow properties in the neighborhood of the Gaussian fixed point”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 9, 87–92; Russian Math. (Iz. VUZ), 58:9 (2014), 71–75
Linking options:
https://www.mathnet.ru/eng/ivm8934 https://www.mathnet.ru/eng/ivm/y2014/i9/p87
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Abstract page: | 131 | Full-text PDF : | 30 | References: | 38 | First page: | 4 |
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