Generalized conditions for the decoupling theorem of quantum field theory in Minkowski space with particles of vanishingly small masses

Abstract

The proof of the decoupling theorem of quantum field theory given earlier [E. B. Manoukian, J. Math. Phys. 26, 1065 (1985)] in Minkowski space, in the distributional sense, for theories involving particles with vanishingly small masses as well is extended under more general conditions, thus being applicable to a larger class of graphs. All subtractions of renormalization are carried out at the origin of momentum space with the degree of divergence of a subtraction coinciding with the dimensionality of the corresponding subdiagram.