@article{(Open Science Index):https://publications.waset.org/pdf/6710, title = {Fixed Point Equations Related to Motion Integrals in Renormalization Hopf Algebra}, author = {Ali Shojaei-Fard}, country = {}, institution = {}, abstract = {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.}, journal = {International Journal of Nuclear and Quantum Engineering}, volume = {3}, number = {11}, year = {2009}, pages = {1047 - 1052}, ee = {https://publications.waset.org/pdf/6710}, url = {https://publications.waset.org/vol/35}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 35, 2009}, }