Interactions in Abelian and Yang-Mills Theories

TL;DR

This paper explores a natural approach to studying long-distance interactions in Abelian and Yang-Mills gauge theories using the electric (momentum) representation, highlighting its structure and benefits.

Contribution

It introduces a framework for analyzing gauge theories in the electric representation, emphasizing its structural advantages for understanding long-distance interactions.

Findings

Provides a structured approach to gauge theories in the electric representation

Highlights advantages of this approach for long-distance interaction analysis

Applies the method to both Abelian and Yang-Mills theories

Abstract

There is a natural way to study the long distance interactions of gauge theories in the electric (momentum) representation. Here, the main ideas are presented for the Abelian and Yang-Mills gauge theories emphasizing on the structure and the advantages of this approach.