Deformed defects for scalar fields with polynomial interactions

TL;DR

This paper introduces a deformation method to generate new scalar field models with polynomial interactions, providing exact defect solutions and analyzing their stability.

Contribution

It develops a novel deformation function approach to create diverse polynomial interaction models with exact defect solutions and stability analysis.

Findings

Derived two families of models with polynomial interactions

Obtained exact solutions for global defects

Conducted detailed stability analysis

Abstract

In this paper we use the deformation procedure introduced in former work on deformed defects to investigate several new models for real scalar field. We introduce an interesting deformation function, from which we obtain two distinct families of models, labeled by the parameters that identify the deformation function. We investigate these models, which identify a broad class of polynomial interactions. We find exact solutions describing global defects, and we study the corresponding stability very carefully.