Noncommutative effective theory of vortices in a complex scalar field
C.D. Fosco, and A. Lopez
TL;DR
This paper develops a noncommutative effective theory for vortices in a complex scalar field in 2+1 dimensions, linking noncommutativity to vortex dynamics and quantum behavior.
Contribution
It introduces a novel noncommutative framework to describe vortex configurations and their quantum dynamics in a complex scalar field system.
Findings
Magnus force interpreted via noncommutativity
Quantum vortex dynamics analyzed within the noncommutative theory
New insights into vortex interactions in 2+1 dimensions
Abstract
We derive a noncommutative theory description for vortex configurations in a complex field in 2+1 dimensions. We interpret the Magnus force in terms of the noncommutativity, and obtain some results for the quantum dynamics of the system of vortices in that context.
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