Schr\"{o}dinger Fields on the Plane with non-Abelian Chern-Simons Interactions

TL;DR

This paper clarifies the physical content of nonrelativistic quantum field theories with non-Abelian Chern-Simons interactions by deriving an equivalent first-quantized description in any physical gauge.

Contribution

It provides a new derivation of the first-quantized description for non-Abelian Chern-Simons interactions in nonrelativistic quantum field theory.

Findings

Clarified the physical content of the theory.

Derived an equivalent first-quantized description.

Applicable in any physical gauge.

Abstract

Physical content of the nonrelativistic quantum field theory with non-Abelian Chern-Simons interactions is clarified with the help of the equivalent first- quantized description which we derive in any physical gauge.