Quantum monopole via Heisenberg quantization

TL;DR

This paper applies Heisenberg's non-perturbative quantization to derive quantum monopole and flux tube solutions in SU(3) gauge theory, revealing features related to confinement and the Meissner effect.

Contribution

It introduces quantum monopole and flux tube solutions in SU(3) gauge theory using Heisenberg quantization, a novel non-perturbative approach.

Findings

Quantum monopole has an exponentially decreasing chromomagnetic field.

Flux tube connects monopole and anti-monopole with a longitudinal field.

Solutions exhibit characteristics similar to the Meissner effect.

Abstract

Using a non-perturbative quantization method originally due to Heisenberg we obtain {\it quantum} monopole solutions and {\it quantum} flux tube solutions for the SU(3) strong interaction gauge theory. For the quantum monopole solution we find that the radial chromomagnetic field decreases exponentially with a scale set by the effective gluon mass. The quantum flux tube solution stretches between a monopole and anti-monopole and has a longitudinal chromomagnetic field. Both solutions exhibit characteristics of the Meissner effect and are conjectured to have a connection to the confinement phenomenon.