Dilatonic topological defects in3+1dimensions and their embeddings

Abstract

We consider Lagrangians in $3+1$ dimensions admitting topological defects where there is an additional coupling between the defect scalar field $\mathrm{\ensuremath{\Phi}}$ and the gauge field kinetic term (e.g. $B(|\mathrm{\ensuremath{\Phi}}{|}^{2}){F}_{\ensuremath{\mu}\ensuremath{\nu}}{F}^{\ensuremath{\mu}\ensuremath{\nu}}$). Such a dilatonic coupling in the context of a static defect induces a spatially dependent effective gauge charge and effective mass for the scalar field, which leads to modified properties of the defect core. In particular, the scale of the core gets modified while the stability properties of the corresponding embedded defects are also affected. These modifications are illustrated for gauged (Nielsen-Olesen) vortices and for gauged ('t Hooft--Polyakov) monopoles. The corresponding dilatonic global defects are also studied in the presence of an external gauge field.