Comment On Vortices In Chern-Simons And Maxwell Electrodynamics
Pietro Donatis, Roberto Iengo
TL;DR
This paper compares vortex solutions in (2+1)D Chern-Simons and Maxwell electrodynamics, showing that under certain parameters, identical vortex configurations solve both theories despite their differences.
Contribution
It demonstrates the conditions under which vortex solutions are shared between Chern-Simons and Maxwell theories in (2+1) dimensions.
Findings
Vortex solutions exist in both theories.
Certain parameter choices unify solutions.
Chern-Simons theory violates P and T symmetries.
Abstract
We compare the vortex-like solutions of two different theories in (2+1) dimensions. In the first a nonrelativistic field self-interacts through a Chern-Simons gauge connection. It is and violating. The second is the standard Maxwell scalar electrodynamics. We show that for specific values of some parameters the same vortex-configurations provide solutions for both theories.
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