Renormalization of Feynman integrals on the lattice

A perturbative renormalization procedure is proposed which applies to massive field theories on a space-time lattice and is analogous to the BPHZ finite part prescription for continuum Feynman integrals. The renormalized perturbation theory is shown to be universal, i.e. under very natural assumptions the continuum limit exists and is independent of the details of the lattice action