Nonlinear algebra and Bogoliubov's recursion
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.
 Publication:

Theoretical and Mathematical Physics
 Pub Date:
 February 2008
 DOI:
 10.1007/s1123200800267
 arXiv:
 arXiv:hepth/0703258
 Bibcode:
 2008TMP...154..270M
 Keywords:

 quantum field theory;
 renormalization;
 nonlinear algebra;
 High Energy Physics  Theory
 EPrint:
 LaTex, 21 pages