Understanding the U(1) problem through dyon configuration in the Abelian projection

TL;DR

This paper reviews how the transformation of magnetic monopoles into dyons via the vacuum angle θ addresses the U(1) problem by contributing significantly to the topological susceptibility.

Contribution

It introduces a novel perspective on the U(1) problem by linking dyons in the Abelian projection to topological susceptibility.

Findings

Dyons dominate the topological susceptibility.

Vacuum angle θ induces monopole to dyon transition.

Provides insight into the resolution of the U(1) problem.

Abstract

We give a short review of the recently obtained result that the magnetic monopole promoted to the dyon due to the vacuum angle $\theta$ resolves the U(1) problem in the sense that the dyon obtained in this way gives a dominant contribution to the topological susceptibility