Intrinsic Loop Regularization and Renormalization in ϕ 4 Field Theory

We find that there exist certain intrinsic relations between the divergent diagrams and the convergent ones at the same loop order in some renormalizable quantum field theories. Whereupon we propose a new method for regularization and renormalization of those divergent diagrams. We name it the intrinsic loop regularization. In this paper, we take the renormalized ϕ 4 theory up to the second order of the coupling constant as an example to present this method.