Existence of spinning solitons in gauge field theory

Details Existence of spinning solitons in gauge field theory Existence of spinning solitons in gauge field theory

2003-02-05

arxiv.org/abs/hep-th/0302032v2

Phys.Rev. D67 (2003) 105006

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, to appear in Phys.Rev. D

Scientific paper

10.1103/PhysRevD.67.105006

We study the existence of classical soliton solutions with intrinsic angular momentum in Yang-Mills-Higgs theory with a compact gauge group $\mathcal{G}$ in (3+1)-dimensional Minkowski space. We show that for \textit{symmetric} gauge fields the Noether charges corresponding to \textit{rigid} spatial symmetries, as the angular momentum, can be expressed in terms of \textit{surface} integrals. Using this result, we demonstrate in the case of $\mathcal{G}=SU(2)$ the nonexistence of stationary and axially symmetric spinning excitations for all known topological solitons in the one-soliton sector, that is, for 't Hooft--Polyakov monopoles, Julia-Zee dyons, sphalerons, and also vortices.

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