Monopoles and Confining Strings in QCD

TL;DR

This paper reviews recent advances in understanding magnetic monopoles and confining strings in QCD, proposing a dual U(1) gauge description and confirming predictions through lattice gauge theory calculations.

Contribution

It introduces a dual formulation of non-Abelian theories with a U(1) dual gluon and an effective infrared Lagrangian explaining confinement phenomena.

Findings

Dual gluon is a U(1) gauge boson despite non-Abelian gluons.

Effective infrared Lagrangian predicts Casimir scaling of string tension.

Lattice calculations confirm theoretical predictions.

Abstract

We review the recent results in the physics of the magnetic monopoles in gluodynamics and a dual formulation of non-Abelian theories, relevant to the physics of the confinement. It occurs that the dual gluon is a U(1) gauge boson, despite of the fact that usual gluons are non-Abelian. The effective infrared Lagrangian for gluodynamics is suggested which leads to the Casimir scaling of the string tension for quarks in various representations. We also show that the results of the calculations in lattice gauge theories confirm our theoretical predictions.