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arxiv: 1711.01737 · v2 · pith:VNWEYKDNnew · submitted 2017-11-06 · ✦ hep-ph · hep-th

Quantum monopole via Heisenberg quantization

classification ✦ hep-ph hep-th
keywords quantummonopolesolutionschromomagneticfieldfluxheisenbergquantization
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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.

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