%0 Journal Article %A Ali Shojaei-Fard %D 2009 %J International Journal of Nuclear and Quantum Engineering %B World Academy of Science, Engineering and Technology %I Open Science Index 35, 2009 %T Fixed Point Equations Related to Motion Integrals in Renormalization Hopf Algebra %U https://publications.waset.org/pdf/6710 %V 35 %X In this paper we consider quantum motion integrals depended on the algebraic reconstruction of BPHZ method for perturbative renormalization in two different procedures. Then based on Bogoliubov character and Baker-Campbell-Hausdorff (BCH) formula, we show that how motion integral condition on components of Birkhoff factorization of a Feynman rules character on Connes- Kreimer Hopf algebra of rooted trees can determine a family of fixed point equations. %P 1047 - 1052