All-order uniform momentum bounds for the massless phi^4 theory in four dimensional Euclidean space

Abstract

A panoramic overview is given, of a theorem [1] establishing physical and uniform bounds on the Fourier-transformed Schwinger functions of a massless phi^4 theory in four Euclidean dimensions, at any loop order in perturbation theory.

Talk given by RG at the Oberwolfach workshop "The Renormalization Group", March 13th - March 19th, 2011. [[v2: 1/L! added in eq.(1).]]