Flux Tubes in Weyl Gravity

TL;DR

This paper explores spherically symmetric solutions in Weyl gravity coupled with gauge fields, revealing they are conformally equivalent to flux tubes with constant fields, suggesting a classical confinement mechanism with potential links to QCD flux tubes.

Contribution

It demonstrates that solutions in Weyl gravity with gauge fields are conformally equivalent to flux tubes, proposing a classical confinement mechanism and connecting to quantum chromodynamics flux tubes.

Findings

Solutions are conformally equivalent to flux tubes with constant fields.

Weyl gravity exhibits a classical confinement mechanism.

Potential connection to flux tubes in QCD.

Abstract

The spherically symmetric solutions in Weyl gravity interacting with U(1) or SU(2) gauge fields are examined. It is shown that these solutions are conformally equivalent to an infinite flux tube with constant (color) electric and magnetic fields. This allows us to say that Weyl gravity has in some sense a classical confinement mechanism. We discuss a possible connection with flux tubes in quantum chromodynamics.