Large Momentum bounds from Flow Equations

Abstract

We analyse the large momentum behaviour of 4-dimensional massive euclidean Phi-4-theory using the flow equations of Wilson's renormalization group. The flow equations give access to a simple inductive proof of perturbative renormalizability. By sharpening the induction hypothesis we prove new and, as it seems, close to optimal bounds on the large momentum behaviour of the correlation functions. The bounds are related to what is generally called Weinberg's theorem.

14 pages

References in corpus (2)

• Exact Renormalization Group Equations. An Introductory Review
• Renormalization Proof for Spontaneously broken Yang-Mills Theory with Flow Equations

Cited by in corpus (7)

• Perturbative Renormalization by Flow Equations
• The operator product expansion converges in perturbative field theory
• Renormalization of SU(2) Yang-Mills theory with Flow Equations
• All-order bounds for correlation functions of gauge-invariant operators in Yang-Mills theory
• The operator product expansion converges in massless ${\phi }_4^4$-theory
• On the local Borel transform of Perturbation Theory
• Mean field flow equations and asymptotically free scalar fields