Quantum monopole via Heisenberg quantization
Abstract
Using a non-perturbative quantization method originally due to Heisenberg we obtain quantum monopole solutions and 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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