An Exchange Identity for Non-Linear Fields

TL;DR

This paper introduces a new mathematical identity that links creation and annihilation operators with the heat kernel in self-interacting bosonic quantum field theories, aiding in theoretical analysis.

Contribution

The paper presents a novel exchange identity connecting operators with the heat kernel in non-linear bosonic fields, advancing theoretical tools in quantum field theory.

Findings

Provides a new mathematical identity for field operators and heat kernels.

Facilitates analysis of self-interacting bosonic fields.

Enhances theoretical understanding of non-linear quantum fields.

Abstract

We establish a useful identity for intertwining a creation or annihilation operator with the heat kernel of a self-interacting bosonic field theory.