QCD: from four to two dimensions

TL;DR

This paper reviews recent research on how Yang-Mills theories change from four to two dimensions, focusing on confinement phenomena and clarifying controversial issues in both perturbative and exact solution contexts.

Contribution

It provides a comprehensive overview of the dimensional reduction of Yang-Mills theories, highlighting new insights into confinement and resolving debates in the field.

Findings

Dimensional reduction affects confinement properties.

Perturbative and exact solutions reveal consistent features.

Clarification of controversial issues in the transition process.

Abstract

I review some work done in the past four years concerning the transition of Yang-Mills theories from 1+3 to 1+1 dimensions. The problem is considered both in a perturbative context and in exact solutions when available. Several interesting features are discussed, mainly in relation to the phenomenon of confinement, and some controversial issues are clarified.