Space-time noncommutativity and (1+1) Higgs Model

TL;DR

This paper compares classical and noncommutative scattering of kinks in a (1+1) Higgs model, providing exact solutions classically and perturbative insights into the noncommutative case, indicating potential smooth solutions.

Contribution

It offers a detailed comparison between classical and noncommutative kink scattering, with exact solutions classically and perturbative analysis noncommutatively, suggesting smooth solutions in both cases.

Findings

Classical scattering solutions are smooth and exact.

Perturbative noncommutative results indicate possible smooth solutions.

Comparison enhances understanding of noncommutative field theories.

Abstract

We compare the classical scattering of kinks in (1+1) Higgs model with its analogous noncommutative counterpart. While at a classical level we are able to solve the scattering at all orders finding a smooth solution, at a noncommutative level we present only perturbative results, suggesting the existence of a smooth solution also in this case.