Kinklike structures in an arcsin real scalar dynamics

TL;DR

This paper investigates kink-like solutions in a real scalar field theory with arcsin-based dynamics, using a first-order formalism and deformation method to find analytical solutions and analyze their stability and energy properties.

Contribution

It introduces a novel application of the first-order formalism and deformation procedure to arcsin kinetic scalar theories, deriving exact kink solutions and analyzing their stability.

Findings

Kink-like solutions similar to standard scalar theories are obtained.

The non-linear parameter significantly affects energy densities and stability potentials.

The first-order formalism effectively simplifies equations in arcsin kinetic models.

Abstract

In this paper, we analyze kink-like analytical solutions in a real scalar theory with an arcsin dynamics inspired by the arcsin electrodynamics presented in Kruglov (2015). This analysis is done by means of the first-order formalism. This formalism provides a framework where the equations of motion can be simplified by preserving the linear stability of the theory. In this work, the deformation procedure is implemented with the aim of finding exact solutions in systems with generalized dynamics. Along with the paper, we explore how the first-order formalism is implemented in the arcsin kinetics and how such a term influences the kink-like solutions. As a part of the result of our paper, we show that the kink-like solutions are similar to the ones obtained in the standard scalar kinetic theory. We also show that the extra parameter, that controls the non-linearities of the model, plays an essential role in the energy densities and stability potentials. These quantities vary according to this parameter. The goals here are to show how the first-order framework is implemented in this arcsin scenario and to present the analytical kink-like solutions that can be found by means of the first-order framework and deformation method.