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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 173, Number 3, Pages 355–362
DOI: https://doi.org/10.4213/tmf8345 (Mi tmf8345) 		 
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
Full-text PDF (360 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf8345
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
English version:
Theoretical and Mathematical Physics, 2012, Volume 173, Issue 3, Pages 1637–1643
DOI: https://doi.org/10.1007/s11232-012-0137-z
Bibliographic databases:
Document Type: Article
Language: Russian
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
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v173/i3/p355
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :176
    References:77
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