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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 154, Number 2, Pages 316–343
DOI: https://doi.org/10.4213/tmf6172 (Mi tmf6172) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Nonlinear algebra and Bogoliubov's recursion

A. Yu. Morozova, M. N. Serbinabcde

a Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
b N. N. Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine
c L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
d Moscow Institute of Physics and Technology
e Museo Storico della Fisica e Centro Studi e Ricerche "Enrico Fermi"
Full-text PDF (587 kB) Citations (12)
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DOI: https://doi.org/10.4213/tmf6172
Abstract: We give many examples of applying Bogoliubov's forest formula to iterative solutions of various nonlinear equations. The same formula describes an extremely wide class of objects, from an ordinary quadratic equation to renormalization in quantum field theory.
Keywords: quantum field theory, renormalization, nonlinear algebra.
Received: 02.04.2007
English version:
Theoretical and Mathematical Physics, 2008, Volume 154, Issue 2, Pages 270–293
DOI: https://doi.org/10.1007/s11232-008-0026-7
Bibliographic databases:
Language: Russian
Citation: A. Yu. Morozov, M. N. Serbin, “Nonlinear algebra and Bogoliubov's recursion”, TMF, 154:2 (2008), 316–343; Theoret. and Math. Phys., 154:2 (2008), 270–293
Citation in format AMSBIB
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    • This publication is cited in the following 12 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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