Geometrically constrained kinklike configurations engendering long range, double exponential, half-compact and compact behavior

TL;DR

This paper presents a method to modify the asymptotic behavior of kink solutions in two-field scalar models, enabling the creation of long-range, double exponential, half-compact, and compact configurations through a first order formalism.

Contribution

It introduces a novel procedure to alter the tail behavior of kinks, expanding the types of solutions available in scalar field theories.

Findings

Standard kink tails can be smoothly transformed into long-range or double exponential profiles.

The method allows for the creation of half-compact and fully compact kink solutions.

The approach is based on energy minimization and a first order formalism.

Abstract

We describe a procedure that contributes to modify the asymptotic behavior of kinks in a model described by two real scalar fields. The investigation takes advantage of a first order formalism based on energy minimization to unveil how to modify the asymptotic profile of kinklike configurations. In particular, we show that the exponential tails of standard kinklike configurations can be smoothly modified to engender long range, double exponential, half-compact or compact behavior.