Existence of spinning solitons in gauge field theory

Abstract

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.

21 pages, to appear in Phys.Rev. D

References in corpus (3)

• Spinning Q-Balls
• On rotating regular nonabelian solutions
• Rotating Yang-Mills dyons in anti-de Sitter spacetime

Cited by in corpus (19)

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• Rotating Boson Stars in 2+1 Dimensions
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• Gauged Baby Skyrme Model with Chern-Simons term
• Spinning Electroweak Sphalerons
• Superconducting non-Abelian vortices in Weinberg-Salam theory -- electroweak thunderbolts
• Electroweak Sphalerons with Spin and Charge
• Proca balls with angular momentum or flux of electric field
• Spinning Solitons of a Modified Non-Linear Schroedinger equation
• Rotating Electroweak Sphaleron-Antisphaleron Systems
• Excited oscillons: cascading levels and higher multipoles
• Gravitating Sphaleron-Antisphaleron Systems
• Gravitating Yang-Mills dyon vortices in 4+1 spacetime dimensions
• Axially symmetric Yang-Mills-Higgs solutions in AdS spacetime
• Properties of Charged Rotating Electroweak Sphaleron-Antisphaleron Systems
• Generalized dyons and magnetic dipoles: the issue of angular momentum
• On rotating solitons in general relativity