Kinklike structures in models of the Dirac-Born-Infeld type

TL;DR

This paper explores kinklike solutions in scalar field models with Dirac-Born-Infeld type kinetic terms, introducing a first-order framework and deformation method to analyze stability and properties of solutions with polynomial and nonpolynomial potentials.

Contribution

It develops a novel first-order approach for analyzing topological solutions in nonlinear kinetic models and examines how the DBI kinetic term influences solution properties.

Findings

Kink solutions are similar to standard models but differ in energy densities.

The stability of solutions is ensured through a first-order framework.

The kinetic term parameter affects the energy and stability characteristics.

Abstract

The present work investigates several models of a single real scalar field, engendering kinetic term of the Dirac-Born-Infeld type. Such theories introduce nonlinearities to the kinetic part of the Lagrangian, which presents a square root restricting the field evolution and including additional powers in derivatives of the scalar field, controlled by a real parameter. In order to obtain topological solutions analytically, we propose a first-order framework that simplifies the equation of motion ensuring solutions that are linearly stable. This is implemented using the deformation method, and we introduce examples presenting two categories of potentials, one having polynomial interactions and the other with nonpolynomial interactions. We also explore how the Dirac-Born-Infeld kinetic term affects the properties of the solutions. In particular, we note that the kinklike solutions are similar to the ones obtained through models with standard kinetic term and canonical potential, but their energy densities and stability potentials vary according to the parameter introduced to control the new models.