Operator product expansions as a consequence of phase space properties

TL;DR

This paper provides a nonperturbative, model-independent proof of operator product expansions in quantum field theory using phase space conditions, and explores the structure of normal products.

Contribution

It introduces a phase space condition to rigorously establish operator product expansions without relying on perturbation theory.

Findings

Proof of operator product expansions using phase space properties

Definition and analysis of normal products in quantum field theory

Framework applicable to a broad class of models

Abstract

The paper presents a model-independent, nonperturbative proof of operator product expansions in quantum field theory. As an input, a recently proposed phase space condition is used that allows a precise description of point field structures. Based on the product expansions, we also define and analyze normal products (in the sense of Zimmermann).