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

Teoreticheskaya i Matematicheskaya Fizika

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor
	Guidelines for authors
	License agreement
	Submit a manuscript

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

TMF:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

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. Morozov^a, M. N. Serbin^abcde

^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)

References:

PDF

HTML

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

\Bibitem{MorSer08}

\by A.~Yu.~Morozov, M.~N.~Serbin

\paper Nonlinear algebra and Bogoliubov's recursion

\jour TMF

\yr 2008

\vol 154

\issue 2

\pages 316--343

\mathnet{http://mi.mathnet.ru/tmf6172}

\crossref{https://doi.org/10.4213/tmf6172}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2424011}

\zmath{https://zbmath.org/?q=an:1150.81014}

\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2008TMP...154..270M}

\transl

\jour Theoret. and Math. Phys.

\yr 2008

\vol 154

\issue 2

\pages 270--293

\crossref{https://doi.org/10.1007/s11232-008-0026-7}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000253216500010}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-39349091201}

Linking options:

https://www.mathnet.ru/eng/tmf6172

https://doi.org/10.4213/tmf6172

https://www.mathnet.ru/eng/tmf/v154/i2/p316

This publication is cited in the following 12 articles:

A. Morozov, A. Oreshina, “On character expansion and Gaussian regularization of Itzykson-Zuber measure”, Physics Letters B, 857 (2024), 139006
D. Diakonov, A. Morozov, “Banana diagrams as functions of geodesic distance”, Physics Letters B, 858 (2024), 139079
Itoyama H. Mironov A. Morozov A., “Rainbow Tensor Model With Enhanced Symmetry and Extreme Melonic Dominance”, Phys. Lett. B, 771 (2017), 180–188
Shojaei-Fard A., “Counterterms in the Context of the Universal Hopf Algebra of Renormalization”, Int. J. Mod. Phys. A, 29:8 (2014), 1450045
Shojaei-Fard A., “Motivic Dyson-Schwinger Equations”, Int. J. Mod. Phys. A, 28:20 (2013)
A. Yu. Morozov, “Challenges of $\beta$ -deformation”, Theoret. and Math. Phys., 173:1 (2012), 1417–1437
A. Yu. Morozov, “Unitary integrals and related matrix models”, Theoret. and Math. Phys., 162:1 (2010), 1–33
A. Yu. Morozov, Sh. R. Shakirov, “New and old results in resultant theory”, Theoret. and Math. Phys., 163:2 (2010), 587–617
Itoyama H., Mironov A., Morozov A., “Boundary ring: a way to construct approximate NG solutions with polygon boundary conditions. I. $Z_n$ -symmetric configurations”, Nuclear Phys. B, 808:3 (2009), 365–410
Morozov A., Shakirov Sh., “Introduction to integral discriminants”, Journal of High Energy Physics, 2009, no. 12, 002, 39 pp.
Morozov A., Shakirov Sh., “Generation of matrix models by (W)over-cap-operators”, Journal of High Energy Physics, 2009, no. 4, 064
Itoyama H., Morozov A., “Boundary ring or a way to construct approximate NG solutions with polygon boundary conditions. II”, Prog. Theor. Phys., 120:2 (2008), 231–287

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	1598
Full-text PDF :	568
References:	142
First page:	22

Registration to the website

Logotypes