Symmetric multifield oscillons

Physical review. D/Physical review. D., vol. 106

Abstract

Oscillons are long-lived, spatially localized field configurations, which are supported by attractive nonlinearities in the scalar potential. We study oscillons comprised of multiple interacting fields, each having an identical potential with quadratic, quartic and sextic terms. We consider quartic interaction terms of either attractive or repulsive nature. In the two-field case, we construct semianalytical oscillon profiles for different values of the potential parameters and coupling strength using the two-timing small-amplitude formalism. We use analytical and numerical techniques to explore the basin of attraction of stable oscillon solutions and show that, depending on the initial perturbation size, unstable oscillons can either completely disperse or relax to the closest stable configuration. We generalize our analysis to multifield oscillons and show that the governing equations for their shape and stability can be mapped to the ones arising in the two-field case. Finally, we study the emergence of multicomponent oscillons in one and three spatial dimensions, both numerically and through Floquet theory.

Authors 2

1. Fabio van Dissel Aachen Institute Lorentz of Theoretical Physics

   Leiden University · Institute for High Energy Physics · Barcelona Institute of Science and Technology

   Affiliation as printed

   Institut de Física d’Altes Energies (IFAE), The Barcelona Institute of Science and Technology (BIST), Campus UAB, 08193 Bellaterra, Barcelona, Spain

   Institute Lorentz of Theoretical Physics, Leiden University, 2333 CA Leiden, The Netherlands

   Institut de Física d'Altes Energies (IFAE), The Barcelona Institute of Science and Technology (BIST), Campus UAB, 08193 Bellaterra, Barcelona, Spain

2. Evangelos I. Sfakianakis Aachen Institute Lorentz of Theoretical Physics

   Leiden University · National Institute for Subatomic Physics · Institute for High Energy Physics · Barcelona Institute of Science and Technology

   Affiliation as printed

   Institut de Física d’Altes Energies (IFAE), The Barcelona Institute of Science and Technology (BIST), Campus UAB, 08193 Bellaterra, Barcelona, Spain

   Institute Lorentz of Theoretical Physics, Leiden University, 2333 CA Leiden, The Netherlands

   Nikhef, Science Park 105, 1098 XG Amsterdam, The Netherlands

   Institut de Física d'Altes Energies (IFAE), The Barcelona Institute of Science and Technology (BIST), Campus UAB, 08193 Bellaterra, Barcelona, Spain