Vacuumless kinks systems from vacuum ones, an example

TL;DR

This paper introduces a new theoretical model that connects vacuumless topological defects to traditional models with degenerate vacua, providing a unifying framework and extending previous work.

Contribution

It presents a parent model that generalizes the vacuumless system of Cho and Vilenkin, linking it to models with degenerate vacua and extending to other recent models.

Findings

Established a connection between vacuumless and vacuum models.

Derived a unifying theoretical framework for topological defects.

Extended the approach to other models like Bazeia et al. and Liouville.

Abstract

Some years ago, Cho and Vilenkin, introduced a model which presents topological solutions, despite not having degenerate vacua as is usually expected. Here we present a new model with topological defects, connecting degenerate vacua but which in a certain limit recovers precisely the one proposed originally by Cho and Vilenkin. In other words, we found a kind of parent model for the so called vacuumless model. Then the idea is extended to a model recently introduced by Bazeia et al. Finally, we trace some comments the case of the Liouville model.