Ali Shojaei-Fard
Fixed Point Equations Related to Motion Integrals in Renormalization Hopf Algebra
1047 - 1052
2009
3
11
International Journal of Nuclear and Quantum Engineering
https://publications.waset.org/pdf/6710
https://publications.waset.org/vol/35
World Academy of Science, Engineering and Technology
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 BakerCampbellHausdorff (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.
Open Science Index 35, 2009