Mechanism to induce geometric constriction on kinks and domain walls

TL;DR

This paper explores a method to induce geometric constriction in kinks and domain walls within scalar field theories by introducing an auxiliary field that modifies the dynamics, enabling internal structure and asymmetry.

Contribution

It presents a novel approach to control the internal structure of kinks and domain walls through an auxiliary field, linking standard solutions to geometrically constrained configurations.

Findings

Supports minimum energy solutions with first order equations

Demonstrates transition between standard and constrained configurations

Mimics effects of geometrical constrictions in magnetic materials

Abstract

We investigate scalar field theories in the multifield scenario, focusing mainly on the possibility to smoothly build internal structure and asymmetry for kinks and domain walls. The procedure requires the inclusion of an extra field which is associated to a function that modifies the dynamics of the other fields. We investigate minimum energy configurations, which support first order equations compatible with the equations of motion. The extra field allows a transition which is guided by a parameter that connects the standard solution to another one, geometrically constrained, mimicking the effects of geometrical constrictions in magnetic materials.