Abelian and Non-Abelian Monopole Configuration in Condensed Matters

TL;DR

This paper explores the theoretical existence and regularization of Abelian and non-Abelian monopoles in condensed matter systems, proposing that Dirac monopoles could be realized in dielectric materials and providing explicit solutions for non-Abelian monopoles.

Contribution

It introduces the concept of regularized Dirac monopoles in dielectric condensed matter and extends the analysis to non-Abelian monopoles in two-gap systems with explicit solutions.

Findings

Dirac monopoles can be regularized by charge screening in dielectrics

Dirac monopoles of hundreds of meV could exist in dielectric materials

Explicit non-Abelian monopole solutions are constructed in two-gap condensed matter systems

Abstract

We discuss the Abelian and non-Abelian monopoles which could exist in condensed matters. We show how the Dirac monopole can be regularized by the charge screening, and argue that the Dirac monopole of mass of hundred meVs could exist in dielectric condensed matters. Moreover, we generalize this result to non-Abelian condensed matters to show the existence of the non-Abelian monopole configuration in two-gap condensed matters, and present explicit monopole solutions.