TL;DR
This paper explores vortex configurations in a noncommutative field theory with a vulcanization term, revealing the existence of non-topological vortices and Q-ball solutions but no topological vortices.
Contribution
It introduces a vulcanization term inspired by renormalization in noncommutative field theory and analyzes vortex solutions in this context.
Findings
Non-topological vortex solutions exist
Q-ball type solutions are found
Topological vortex solutions are absent
Abstract
We investigate vortex configurations with the "vulcanization" term inspired by the renormalization of theory in the canonical -deformed noncommutativity. We focus on the classical limit of the theory described by a single parameter which is the ratio of the vulcanization and the noncommutativity parameters. We perform numerical calculations and find that nontopological vortex solutions exist as well as Q-ball type solutions, but topological vortex solutions are not admitted.
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