All finite-mass Dirac monopoles

AbstraktAbstract

We present a “primitive” way of realizing finite-mass Dirac monopoles in U(1) gauge theories involving a single nonminimally interacting scalar field. Typically, the energy density of this type of monopole is not concentrated at its core, but it is distributed in a spherical shell, as we illustrate on several exact solutions in the Bogomol’nyi-Prasad-Sommerfield limit. We show that our construction can be interpreted as a limit of infinitely massive W bosons coupled to electromagnetic field strength via a dipole moment. Combining our approach with ideas of Weinberg and Lee, we present a general landscape of U(1) gauge models that support a finite-mass Dirac monopole. In fact, all classical monopoles, i.e., Wu-Yang, ’t Hooft-Polyakov, Cho-Maison, etc., are special points on this landscape.

We present a “primitive” way of realizing finite-mass Dirac monopoles in U(1) gauge theories involving a single nonminimally interacting scalar field. Typically, the energy density of this type of monopole is not concentrated at its core, but it is distributed in a spherical shell, as we illustrate on several exact solutions in the Bogomol’nyi-Prasad-Sommerfield limit. We show that our construction can be interpreted as a limit of infinitely massive W bosons coupled to electromagnetic field strength via a dipole moment. Combining our approach with ideas of Weinberg and Lee, we present a general landscape of U(1) gauge models that support a finite-mass Dirac monopole. In fact, all classical monopoles, i.e., Wu-Yang, ’t Hooft-Polyakov, Cho-Maison, etc., are special points on this landscape.