Collision Dynamics of False-Vacuum Oscillons

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Main Authors: Campos, J. G. F., Manton, N. S., Mohammadi, Azadeh
Format: Preprint
Published: 2026
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author Campos, J. G. F.
Manton, N. S.
Mohammadi, Azadeh
author_facet Campos, J. G. F.
Manton, N. S.
Mohammadi, Azadeh
contents We study the collision dynamics of localized oscillons in two classes of $(1+1)$-dimensional scalar field theories with metastable false vacua, a normal class with a positive quartic self-interaction term and an inverted class with a negative quartic term. We construct small-amplitude oscillon solutions around the false vacuum using the Fodor {\emph{et al.}} expansion, and show that the force between oscillons decays exponentially at large separation, with a strength modulated by their relative phase. Numerical simulations of two-oscillon collisions exhibit reflection, crossing, and formation of excited oscillons. Resonance windows occur, similar to those found in kink-antikink collisions. In the normal theory, if the oscillons have sufficient energy, the field can pass over a sphaleron barrier and evolve into a kink-antikink pair, initiating a phase transition to the true vacuum. We also simulate the collision of oscillons evolved from a slightly perturbed sphaleron.
format Preprint
id arxiv_https___arxiv_org_abs_2605_12633
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Collision Dynamics of False-Vacuum Oscillons
Campos, J. G. F.
Manton, N. S.
Mohammadi, Azadeh
High Energy Physics - Theory
Pattern Formation and Solitons
We study the collision dynamics of localized oscillons in two classes of $(1+1)$-dimensional scalar field theories with metastable false vacua, a normal class with a positive quartic self-interaction term and an inverted class with a negative quartic term. We construct small-amplitude oscillon solutions around the false vacuum using the Fodor {\emph{et al.}} expansion, and show that the force between oscillons decays exponentially at large separation, with a strength modulated by their relative phase. Numerical simulations of two-oscillon collisions exhibit reflection, crossing, and formation of excited oscillons. Resonance windows occur, similar to those found in kink-antikink collisions. In the normal theory, if the oscillons have sufficient energy, the field can pass over a sphaleron barrier and evolve into a kink-antikink pair, initiating a phase transition to the true vacuum. We also simulate the collision of oscillons evolved from a slightly perturbed sphaleron.
title Collision Dynamics of False-Vacuum Oscillons
topic High Energy Physics - Theory
Pattern Formation and Solitons
url https://arxiv.org/abs/2605.12633