Collapse instability and staccato decay of oscillons in various dimensions

TL;DR

This paper investigates the decay and collapse behaviors of oscillons across different spatial dimensions, revealing that the characteristic 'staccato' decay observed in one dimension diminishes in higher dimensions.

Contribution

It provides a systematic numerical analysis of oscillon decay modes and collapse instability dependence on spatial dimensions for specific potentials.

Findings

Staccato decay is prominent in one dimension but diminishes in higher dimensions.

Collapse instability varies with the number of spatial dimensions.

Results highlight the dimension-dependent nature of oscillon longevity and decay.

Abstract

Oscillons are long-lived, slowly radiating solutions of nonlinear classical relativistic field theories. Recently it was discovered that in one spatial dimension their decay may proceed in "staccato" bursts. Here we perform a systematic numerical study to demonstrate that although this behaviour is not confined to one spatial dimension, it quickly becomes unobservable when the dimension of space is increased, at least for the class of potentials considered here. To complete the picture we also present explicit results on the dimension dependence of the collapse instability observed for three-dimensional oscillons.