Extra dimensions and color confinement

TL;DR

This paper explores how adding extra dimensions with their own Lorentz transformations can modify quark interactions and naturally lead to color confinement without compactifying the extra dimensions.

Contribution

It introduces a model where extra dimensions with independent Lorentz transformations cause only slight modifications to quark interactions and inherently produce color confinement.

Findings

Quark interactions are slightly modified in the extended space.

Color confinement emerges automatically without compactification.

Extra dimensions influence particle behavior through separate Lorentz transformations.

Abstract

We consider an extension of the ordinary four dimensional Minkowski space by introducing additional dimensions which have their own Lorentz transformation. Particles can transform in a different way under each Lorentz group. We show that only quark interactions are slightly modified and that color confinement is automatic since these degrees of freedom run only in the extra dimensions. No compactification of the extra dimensions is needed.