Construction of non-Abelian electric strings

Abstract

We detail the construction of electric string solutions in $SU(2)$ Yang-Mills-Higgs theory with a scalar in the fundamental representation and discuss the properties of the solution. We show that Schwinger gluon pair production in the electric string background is absent. A similar construction in other models, such as with an adjoint scalar field and the electroweak model, does not yield solutions.

9 pages, 5 figures

References in corpus (4)

• On the Vlasov equation for Schwinger pair production in a time-dependent electric field
• Unexciting non-Abelian electric fields
• Stability analysis of non-Abelian electric fields
• Schwinger effect for non-Abelian gauge bosons