Symmetric multifield oscillons

TL;DR

This paper investigates the properties, stability, and formation of symmetric multifield oscillons, extending the understanding of localized scalar field configurations to multiple interacting fields with various potential terms.

Contribution

It introduces a semi-analytical approach for constructing multifield oscillon profiles and analyzes their stability and dynamics across different spatial dimensions.

Findings

Stable oscillons can form from various initial conditions.

Unstable oscillons either disperse or stabilize into nearby configurations.

Multicomponent oscillons emerge in one and three dimensions, confirmed by Floquet analysis.

Abstract

Oscillons are long-lived, spatially localized field configurations, which are supported by attractive non-linearities 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 semi-analytical 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.