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This article is cited in 3 scientific papers (total 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
Citation:
M. D. Missarov, “Renormalization group in a fermionic hierarchical model in projective coordinates”, TMF, 173:3 (2012), 355–362; Theoret. and Math. Phys., 173:3 (2012), 1637–1643
Linking options:
https://www.mathnet.ru/eng/tmf8345https://doi.org/10.4213/tmf8345 https://www.mathnet.ru/eng/tmf/v173/i3/p355
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