New perturbative approach to quantum field theory

I will present a new approach to perturbation theory for renormalizable quantum fields theories (QFTs) which gives renormalization scheme (RS) independent predictions for observable and other quantities of interest (Green's functions). The resulting Renormalization Scheme Independent Perturbation theory will be called RESIPE for short. I will illustrate how RESIPE works for a renormalizable QFT with one dimensionless coupling constant. Applications of 2nd. order RESIPE to some specific physical measurable, for massless QCD, are to be found in Generalization of the RESIPE formalism to QFT's with masses and more than one coupling constant and its connection with the renormalization group (RG) formalism is given in ref. 4. Here, in addition, a new scheme independent perturbation expansion, without reference to RG techniques, is given which is valid for the general ase with masses, several kinematics variables and more than one coupling constant. These and references 5 and 6 may be consulted for more detail. (author)