From Kinks to Compactons

TL;DR

This paper introduces a method to smoothly transition between kink and compacton solutions in scalar field models, demonstrating its application in braneworld scenarios with varying brane thickness.

Contribution

We develop a novel procedure to interpolate between kinks and compactons in scalar field theories, including applications to five-dimensional braneworld models.

Findings

The procedure successfully transforms kinks into compactons in theoretical models.

Compactons exhibit hybrid brane profiles, acting as thick or thin branes.

Application to braneworld scenarios reveals new brane behaviors.

Abstract

This work deals with the presence of localized structures in relativistic systems described by a single real scalar field in two-dimensional spacetime. We concentrate on kinks and compactons in models with standard kinematics, and we develop a procedure that help us to smoothly go from kinks to compactons in the suggested scenario. We also show how the procedure works in the braneworld scenario, for flat brane in the five-dimensional spacetime with a single extra dimension of infinite extent. The brane unveils a hybrid profile when the kink becomes a compacton, behaving as a thick or thin brane, depending on the extra dimension being inside or outside a compact space.