Nonrenormalizable Quantum Field Models in Four-Dimensional Space-Time

Abstract

The construction of no-cutoff Euclidean Green's functions for nonrenormalizable interactions ${\mathcal{L}}_{I}(\ensuremath{\phi})=\ensuremath{\lambda}\ensuremath{\int}d\ensuremath{\delta}(\ensuremath{\epsilon}):\mathrm{exp}\ensuremath{\epsilon}\ensuremath{\phi}:$ in four-dimensional space-time is carried out. It is shown that all axioms for the generating functional of the Euclidean Green's function are satisfied except perhaps SO(4) invariance.