The symmetry group of Feynman diagrams and consistency of the BPHZ renormalization scheme *

Abstract

Abstract We study the relation between the symmetry group of a Feynman diagram and its reduced diagrams. We then prove that the counterterms in the BPHZ renormalization scheme are consistent with adding counterterms to the interaction Hamiltonian in all cases, including that of Feynman diagrams with symmetry factors.