On Lorentz-invariant 2D equations admitting long-lived localized solutions with a nontrivial structure

TL;DR

This paper investigates Lorentz-invariant 2D equations that admit long-lived localized solutions with complex internal structures, resembling hadrons and confinement models, contributing to understanding nontrivial localized field configurations.

Contribution

It introduces specific 2D Lorentz-invariant equations supporting long-lived localized solutions with internal structures akin to hadrons, a novel insight into confinement-like phenomena.

Findings

Localized solutions last up to 1000 time units

Solutions exhibit internal structures similar to hadrons

Analogous to flux tube confinement models

Abstract

The article studies Lorentz-invariant 2D equations with long-lived ($t \backsim 1000$ ) localized solutions. In the case of three scalar fields localized solutions with a nontrivial internal structure similar to the hadron structure are showed. In this case, the solutions of the equations are analogous to the confinement model by flux tube.