The dyon charge in noncommutative gauge theories

TL;DR

This paper constructs an explicit dyon solution in noncommutative Yang-Mills-Higgs theory, demonstrating that the classical charge relation and Witten effect formula remain unchanged despite noncommutativity and CP violation effects.

Contribution

It provides the first explicit classical dyon solution in noncommutative gauge theory and extends the analysis of charge relations and quantum effects to this setting.

Findings

Classical dyon solution explicitly constructed

Charge relation between electric and magnetic charges holds in noncommutative space

Witten effect formula remains valid in noncommutative gauge theories

Abstract

We present an explicit classical dyon solution for the noncommutative version of the Yang-Mills-Higgs model (in the Prasad-Sommerfield limit) with a tehta term. We show that the relation between classical electric and magnetic charges also holds in noncommutative space. Extending the Noether approach to the case of a noncommutative gauge theory, we analyze the effect of CP violation at the quantum level, induced both by the theta term and by noncommutativity and we prove that the Witten effect formula for the dyon charge remains the same as in ordinary space.