A saddle-point solution in the Weinberg-Salam theory

Abstract

We give a close approximation to a static, but unstable, solution of the classical field equations of the Weinberg-Salam theory, where the weak mixing angle ${\ensuremath{\Theta}}_{w}$ is considered to be small. Its energy increases from \ensuremath{\sim}8 TeV to \ensuremath{\sim}14 TeV as the Higgs coupling $\ensuremath{\lambda}$ runs from $0 \mathrm{to} \ensuremath{\infty}$. Furthermore, it has a large magnetic dipole moment and its baryonic (and leptonic) charge is \textonehalf{}. The possible physical relevance of this solution is discussed.