Green function identities in Euclidean quantum field theory

TL;DR

This paper derives identities for Euclidean Green functions in quantum field theory resulting from infinitesimal transformations of the classical Lagrangian, applicable to systems with both even and odd fields.

Contribution

It introduces a general method to obtain Green function identities from classical Lagrangian transformations in Euclidean quantum field theory.

Findings

Derived identities for Euclidean Green functions from classical Lagrangian transformations.

Applicable to systems with even and odd fields.

Provides a unified framework for Green function identities.

Abstract

Given a generic Lagrangian system of even and odd fields, we show that any infinitesimal transformation of its classical Lagrangian yields the identities which Euclidean Green functions of quantum fields satisfy.