Non-perturbative aspects of (supersymmetric) gauge theories

TL;DR

This paper reviews non-perturbative phenomena in four-dimensional non-abelian gauge theories, highlighting rigorous results in supersymmetric models and their implications for understanding strong-coupling dynamics, with potential relevance to future phenomenology.

Contribution

It summarizes recent non-perturbative insights in supersymmetric gauge theories and discusses their significance for strong-coupling phenomena and phenomenological applications.

Findings

Rigorous results in supersymmetric theories elucidate strong-coupling dynamics.

New phenomena in gauge theories may influence future models.

Quantitative analysis in non-supersymmetric theories remains challenging.

Abstract

At an elementary level, we present some non-perturbative aspects of non-abelian gauge theories in four dimensional space-time. Some rigorous results have been obtained in the framework of supersymmetric theories, and a very rich physics related to the strong-coupling dynamics of gauge fields has been discovered. Some of the new phenomena which appeared may play a significant role in future phenomenological models. However, quantitative computations in non-supersymmetric theories, like quantum chromodynamics, is out of reach for the moment.