Theoretical and Mathematical Physics

, Volume 154, Issue 2, pp 270–293 | Cite as

Nonlinear algebra and Bogoliubov’s recursion

  • A. Yu. Morozov
  • M. N. Serbyn


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.


quantum field theory renormalization nonlinear algebra 


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Copyright information

© Springer Science+Business Media, Inc. 2008

Authors and Affiliations

  1. 1.Institute for Theoretical and Experimental PhysicsMoscowRussia
  2. 2.Museo Storico della Fisica e Centro Studi e Ricerche “Enrico Fermi”RomeItaly
  3. 3.Moscow Physical Technical InstituteMoscowRussia
  4. 4.Landau Institute for Theoretical PhysicsRASMoscowRussia
  5. 5.Bogolyubov Institute for Theoretical PhysicsNational Academy of Sciences of UkraineKievUkraine

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