Abstract
We propose a quantum field theory of vortex solitons in the canonical formalism. Using the fact that the topological charge, regarded as an operator, commutes with all local operators, we obtain a superselection rule structure of Abelian and non-Abelian Higgs models in 2 + 1 dimensions. Lorentz-invariant vortex sectors are constructed as nonvacuum representations of the canonical commutation relations. The intertwining operator between the vortex sector and the vacuum sector is identified to be a quantum vortex operator.
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