Moving Stable Solitons in Galileon Theory

TL;DR

This paper introduces a family of traveling, stable solitons in Galileon theory that evade previous no-go theorems, exhibit stability under perturbations, and may indicate integrability of the theory.

Contribution

It presents a novel class of moving solitons in Galileon theory that bypass static no-go results and demonstrate stability and potential integrability.

Findings

Traveling solitons evade static no-go theorems

Perturbation analysis shows no ghost or tachyon instabilities

Solitons pass through each other asymptotically

Abstract

Despite the no-go theorem [5] which rules out static stable solitons in Galileon theory, we propose a family of solitons that evade the theorem by traveling at the speed of light. These domain-wall-like solitons are stable under small fluctuations-analysis of perturbation shows neither ghost-like nor tachyon-like instabilities, and perturbative collision of these solitons suggests that they pass through each other asymptotically, which maybe an indication of the integrability of the theory itself.