Real scalar field kink(-antikink)s and their perturbation spectra in a closed universe
arXiv:1908.09684 · doi:10.1103/PhysRevD.101.076004
Abstract
In this paper we demonstrate that solitons of a simple real scalar field model that are {\it static and linearly stable} do exist when considered in a (3+1)-dimensional, spatially compact space-time background, the static Einstein universe, which is a good approximation to the observed universe for sufficiently small time intervals. We study the properties of these solutions for a -potential and demonstrate that next to the fundamental solutions, excited configurations exist. We also investigate general perturbations about the solitons, determine their eigenfrequency spectra and compare them with those of the perturbations about the vacua of the model. We find that the degeneracy with respect to the multipoles of the perturbation, which is present for the vacua, does no longer exist in the presence of the soliton. Moreover, specific perturbations correspond to zero modes of the system. Our results have applications in condensed matter physics as well as computations of quantum effects (e.g. the Casimir energy) in spatially compact space-times in the presence of soliton-like objects.
arXiv comment14 pages including 7 figures; v2: discussion on perturbations considerably extended with new results, new figure, references added
References in corpus (11)
- Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
- Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
- Rotating Boson Stars and Q-Balls
- Spinning Q-Balls
- Rotating Boson Stars and Q-Balls II: Negative Parity and Ergoregions
- Q-balls, Integrability and Duality
- Back-reaction of Quantum fields in an Einstein Universe
- Casimir energy and a cosmological bounce
- On Derrick's theorem in curved spacetime
- Scalar solitons in a 4-Dimensional curved space-time
- Skyrme model on S_3 and Harmonic maps