q-Deformed Kink Solutions

TL;DR

This paper introduces a q-deformed kink solution in the λφ^4 model, derived from a q-deformed hyperbolic function-based fluctuation operator, resulting in a kink displaced from the origin.

Contribution

It presents a novel q-deformed kink solution in the λφ^4 model using a ground state eigenfunction approach with q-deformed hyperbolic functions.

Findings

q-deformed kink is displaced from the origin

q-deformed potential derived from zero-mode

ground state eigenfunction used for construction

Abstract

The q-deformed kink of the $\lambda\phi^4-$model is obtained via the normalisable ground state eigenfunction of a fluctuation operator associated with the q-deformed hyperbolic functions. From such a bosonic zero-mode the q-deformed potential in 1+1 dimensions is found, and we show that the q-deformed kink solution is a kink displaced away from the origin.