The 'Square Root' of the Interacting Dirac Equation

TL;DR

This paper constructs a 'square root' of the interacting Dirac equation, resulting in a Yang-Mills superfield that satisfies the correct equations of motion for its component fields.

Contribution

It introduces a novel approach to derive Yang-Mills superfields from the interacting Dirac equation's square root.

Findings

Derived the Yang-Mills superfield from the square root of the Dirac equation

Established the equations of motion for the superfield components

Provided a new perspective on supersymmetric gauge theories

Abstract

The 'square root' of the interacting Dirac equation is constructed. The obtained equations lead to the Yang-Mills superfield with the appropriate equations of motion for the component fields.