TY - JFULL AU - Ali Shojaei-Fard PY - 2009/12/ TI - Fixed Point Equations Related to Motion Integrals in Renormalization Hopf Algebra T2 - International Journal of Nuclear and Quantum Engineering SP - 1046 EP - 1052 VL - 3 SN - 1307-6892 UR - https://publications.waset.org/pdf/6710 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 35, 2009 N2 - 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. ER -