Green Function Method for Nonlinear Systems

TL;DR

This paper introduces a Green function approach to solve certain nonlinear systems relevant in quantum field theory, enabling analysis of strong coupling regimes and spectrum determination.

Contribution

It presents a novel Green function method applicable to nonlinear systems in quantum field theory, facilitating strong coupling analysis.

Findings

Green function solution for nonlinear systems

Formulation of quantum field theory in strong coupling limit

Spectrum obtained using the Green function approach

Abstract

We show that a Green function solution can be given for a class of non-homogeneous nonlinear systems having relevance in quantum field theory. This in turn means that a quantum field theory in the strong coupling limit can be formulated and the spectrum obtained.