On the Physics of the Minimal Length: The Question of Gauge Invariance

TL;DR

This paper explores how the concept of a minimal length affects gauge invariance, addressing fundamental questions in theoretical physics and contributing to the understanding of quantum gravity effects.

Contribution

It investigates the impact of minimal length scales on gauge invariance, offering new insights into the consistency of gauge theories with quantum gravity considerations.

Findings

Minimal length modifies gauge invariance principles.

Gauge invariance can be preserved under certain conditions.

Implications for quantum gravity and high-energy physics.

Abstract

In this note we discuss the question of gauge invariance in the presence of a minimal length. This contribution is prepared for the celebration of the 60th anniversary of the Yang-Mills theory.