Fluctuating solutions for the evolution of domain walls

TL;DR

This paper analytically derives oscillating Lorentz covariant solutions for domain wall evolution, revealing structures larger than typical kinks and long-lasting configurations in diverse dimensions.

Contribution

It introduces a novel class of oscillating Lorentz covariant solutions for domain walls, expanding understanding of their possible configurations and evolution.

Findings

Oscillating solutions are larger than usual kinks.

Solutions lead to long-standing domain wall configurations.

Applicable across diverse dimensions.

Abstract

A class of oscillating Lorentz covariant configurations for the evolution of the domain walls in diverse dimensions are analytically obtained. It is shown that the oscillating solutions in the case of domain walls are responsible for structures which are larger than the usual kink-like configurations and, in the Lorentz covariant evolution case, lead to long-standing configurations.