The Strong Perturbation Approach for the Dirac Equation in a Gauge Field

TL;DR

This paper proposes a novel perturbation method for gauge theories with strong coupling, emphasizing the use of adiabatic eigenstates over plane waves to achieve meaningful results.

Contribution

It introduces a strong perturbation approach for the Dirac equation in gauge fields, focusing on adiabatic eigenstates instead of traditional plane wave solutions.

Findings

Adiabatic eigenstates are essential in strong coupling regimes.

The approach offers a new perspective for gauge theories with strong interactions.

Potential applications in non-perturbative quantum field theory.

Abstract

We discuss a possible approach to the problem of a gauge theory with a strong coupling constant. It is seen that, instead of plane waves, we have to consider the adiabatic eigenstates of the perturbation in order to get a meaningful perturbation approach.