Analytical Characterization of Oscillon Energy and Lifetime

TL;DR

This paper presents an analytical method to determine key properties of scalar field oscillons, validated by numerical simulations, and explains their stability differences across spatial dimensions.

Contribution

It introduces a comprehensive analytical framework for oscillon properties in quartic potentials, matching numerical results and clarifying decay behaviors in different dimensions.

Findings

Analytical predictions match numerical simulations with high accuracy.

Oscillons in three dimensions have quantifiable energy, lifetime, and other properties.

Oscillons do not decay in two dimensions, explained theoretically.

Abstract

We develop an analytical procedure to compute all relevant physical properties of scalar field oscillons in models with quartic polynomial potentials: energy, radius, frequency, core-amplitude, and lifetime. We compare our predictions to numerical simulations of models with symmetric and asymmetric double well potentials in three spatial dimensions, obtaining excellent agreement. We also explain why oscillons have not been seen to decay in two spatial dimensions.