Abelian-Projected Effective Gauge Theory of QCD with Asymptotic Freedom and Quark Confinement

TL;DR

This paper outlines a proof that the low-energy effective gauge theory derived from QCD demonstrates quark confinement via magnetic monopole condensation, portraying the QCD vacuum as a dual superconductor.

Contribution

It provides a derivation of an abelian effective gauge theory from QCD that explains quark confinement without additional assumptions.

Findings

Effective abelian gauge theories are dual descriptions of QCD at low energies.

The QCD vacuum behaves as a dual (type II) superconductor.

Quark confinement is explained through magnetic monopole condensation.

Abstract

We give an outline of a recent proof that the low-energy effective gauge theory exhibiting quark confinement due to magnetic monopole condensation can be derived from QCD without any specific assumption. We emphasize that the low-energy effective abelian gauge theories obtained here give the dual description of the same physics in the low-energy region. They show that the QCD vacuum is nothing but the dual (type II) superconductor.