Kinks in generalized scalar field models and their scattering properties

TL;DR

This paper explores kink solutions in scalar field theories, introducing new models, analyzing their topological structures, and studying their collision dynamics to understand their scattering properties.

Contribution

It presents new scalar field models with distinct potentials and investigates their kink solutions and scattering behavior, expanding understanding of topological defect dynamics.

Findings

Identification of new kink solutions in scalar field models

Analysis of collision and scattering properties of kinks

Insights into the stability and topological structures of solutions

Abstract

This work investigates kink solutions in one-dimensional scalar field theories. We begin with a review of the formalism used to obtain these solutions, presenting the BPS formalism and linear stability analysis. Next, we explore new models involving real scalar fields, generated by distinct potentials, with a focus on the topological structures responsible for the formation of kinks. Finally, we study collisions between the solutions obtained in two distinct models, analyzing their dynamic implications.