# Could the primordial radiation be responsible for vanishing of topological defects?

## TL;DR

This paper investigates how primordial radiation influences the stability of topological defects in relativistic field models, showing that radiation can cause defects to vanish and only one vacuum remains stable.

## Contribution

It introduces an effective model linking radiation-induced fluctuations to defect decay, revealing radiation's role in defect vanishing in relativistic $^6$ models.

## Key findings

- Small fluctuations can trigger defect vanishing.
- Only one vacuum remains stable after radiation effects.
- A relation between critical size and perturbation amplitude is established.

## Abstract

We study the motion of topological defects in 1+1 and 2+1 d relativistic $\phi^6$ model with three equal vacua in the presence of radiation. We show that even small fluctuations can trigger a chain reaction leading to vanishing of topological defects. Only one vacuum remains stable and domains containing other vacua vanish. We explain this phenomenon in terms of radiation pressure (both positive and negative). We construct an effective model which translates the fluctuations into additional term in the field theory potential. In case of two dimensional model we find a relation between the critical size of the bulk and amplitude of the perturbation.