Electroweak monopoles and their stability

Abstract

We apply a generalized field ansatz to describe the spherically symmetric sector of classical solutions of the electroweak theory. This sector contains Abelian magnetic monopoles labeled by their magnetic charge $n=\pm 1,\pm 2,\dots$, the non-Abelian monopole for $n=\pm 2$ found previously by Cho and Maison (CM), and also the electric oscillating solutions. All magnetic monopoles have infinite energy. We analyze their perturbative stability and use the method of complex spacetime tetrad to separate variables and reduce the perturbation equations to multi-channel Schroedinger-type eigenvalue problems. The spectra of perturbations around the CM monopole do not contain negative modes hence this solution is stable. The $n=\pm 1$ Abelian monopole is also stable, but all monopoles with $|n|\ge 2$ are unstable with respect to perturbations with angular momentum $j=|n|/2-1$. The Abelian $|n|=2$ monopole is unstable only within the $j=0$ sector whereas the CM monopole also has $|n|=2$ and belongs to the same sector, hence it may be viewed as a stable remnant of the decay of the Abelian monopole. One may similarly conjecture that stable remnants exist also for monopoles with $|n|>2$, hence the CM monopole may be just the first member of a sequence of non-Abelian monopoles with higher magnetic charges. Only the CM monopole is spherically symmetric while all non-Abelian monopoles with $|n|>2$ are not rotationally invariant.

arXiv comment49 pages, 5 figures

References in corpus (20)

• Oscillons: Resonant Configurations During Bubble Collapse
• Non-Abelian BPS Monopoles in N=4 Gauged Supergravity
• Monopoles in Weinberg-Salam Model
• Oscillons and Quasi-breathers in the ϕ^4 Klein-Gordon model
• Fine Structure of Oscillons in the Spherically Symmetric ${\varphi }^4$ Klein-Gordon Model
• Magnetic monopoles revisited: Models and searches at colliders and in the Cosmos
• An Electroweak Oscillon
• An Oscillon in the SU(2) Gauged Higgs Model
• Static Black Hole Solutions without Rotational Symmetry
• Finite Energy Electroweak Dyon
• Multipolar boson stars: macroscopic Bose-Einstein condensates akin to hydrogen orbitals
• The Origin of the Sphaleron Dipole Moment
• Numerical Simulation of an Electroweak Oscillon
• Resonant excitations of the 't Hooft-Polyakov monopole
• Topologically stable, finite-energy electroweak-scale monopoles
• An Electroweak Monopole, Dirac Quantization and the Weak Mixing Angle
• Are All Static Black Hole Solutions Spherically Symmetric?
• Instabilities of Magnetically Charged Black Holes
• On finite energy monopole solutions in Weinberg-Salam model
• Half-Monopole in the Weinberg-Salam Model

Cited by in corpus (1)

• Electroweak multi-monopoles