THE ZERO-DIMENSIONAL PROBLEM IN PHI-4 FIELD-THEORY

This article describes a new approach to the study of a PHI-4 scalar field theory. A previous work addressed the problem of equations of motion of the Schwinger functions proving the existence of a unique nontrivial solution in 0 less-than-or-equal-to r less-than-or-equal-to 2 dimensions. Here, the zero dimensions (i.e., no momentum dependence) are focused on a greatly simplified version of the proof of the existence and uniqueness of the solution is presented, which, moreover, can be extended to the case of r = 1,2 dimensions in a straightforward way.