Scalar fields and defect structures: perturbative procedure for generalized models

TL;DR

This paper presents a perturbative method to generate and analyze defect structures in generalized scalar field models with modified kinetic and potential terms, ensuring stability and broad applicability in high energy physics.

Contribution

It introduces a systematic perturbative procedure to construct and study defect solutions in generalized scalar field models with controlled modifications.

Findings

New defect solutions derived from standard models

Demonstrated stability of deformed defect structures

Applicable to models relevant in high energy physics

Abstract

We develop a general procedure to deal with defect structures in generalized models, described by a single real scalar field, in (1,1) spacetime dimensions. The models that we consider have the standard kinetic and potential contributions modified to include corrections that depend on a single small parameters, used to control modification on the kinematics and the potential. We start with standard model that engenders stable defect structures, and we show how to obtain new structures for the generalized models. We examine distinct aspects of the new deformed solutions, including linear stability. We work with several distinct modifications, and we show how to make the new defect structures stable, controlled by the parameter that modify the standard theory. We illustrate the procedure with examples of current interest to high energy physics.