Building Gauge Theories: The Natural Way

TL;DR

This paper proposes a novel method for constructing gauge theories by starting from gauge fields and coupling matter in a way that emphasizes Lorentz invariance and charge conservation, offering a different perspective from traditional methods.

Contribution

It introduces a reverse approach to building gauge theories, focusing on gauge fields first and then coupling matter, which avoids the particle-centric view of interactions.

Findings

Provides a new procedure for gauge theory construction

Ensures matter coupling respects Lorentz invariance and charge conservation

Offers a perspective that unifies gauge fields and matter without separating particles from mediators

Abstract

The construction of a gauge field theory for elementary particles usually starts by promoting global invariance of the matter action to a local one, this in turn implying the introduction of gauge fields. We present here a procedure that runs the other way: starting from the action for gauge fields, matter is gauge invariantly coupled on the basis of Lorentz invariance and charge conservation. This natural approach prevents using the concept of particles separated from gauge fields that mediate interactions.