Radiation of scalar oscillons in 2 and 3 dimensions

TL;DR

This paper analytically computes the radiation loss of small-amplitude oscillons in 2D and 3D scalar field theories using advanced asymptotic methods, confirming results with numerical simulations.

Contribution

It introduces a novel analytical approach to quantify oscillon radiation beyond all orders in perturbation theory in multiple dimensions.

Findings

Analytic expressions for oscillon radiation amplitude in 2D and 3D.

Good agreement between analytical predictions and numerical simulations.

Application to sine-Gordon and $\, ext{phi}^6$ models.

Abstract

The radiation loss of small-amplitude radially symmetric oscillons (long-living, spatially localized, time-dependent solutions) in two- and three-dimensional scalar field theories is computed analytically in the small-amplitude expansion. The amplitude of the radiation is beyond all orders in perturbation theory and it is determined using matched asymptotic series expansions and Borel summation. The general results are illustrated on the case of the two- and three-dimensional sine-Gordon theory and a two-dimensional $\phi^6$ model. The analytic predictions are found to be in good agreement with the results of numerical simulations of oscillons.