Nonrelativistic Chern-Simons theory for the Repulsive Bose Gas

TL;DR

This paper introduces a modified nonrelativistic Chern-Simons theory tailored for repulsive bosons, supporting topological vortices and self-duality, with a novel Hamiltonian formulation applicable to condensed matter systems.

Contribution

It presents a new nonrelativistic Chern-Simons model with nonvanishing fields, extending the theoretical framework for describing repulsive Bose gases.

Findings

Supports topological vortex solutions

Features a self-dual limit in pure and mixed cases

Uses a new constrained Hamiltonian formulation

Abstract

We propose a new nonrelativistic Chern-Simons theory based on a simple modification of the standard Lagrangian. This admits asymptotically nonvanishing field configurations and is applicable to the description of systems of repulsive bosons. The new model supports topological vortices and has a self-dual limit, both in the pure Chern-Simons and in the mixed Chern-Simons-Maxwell cases. The analysis is based on a new formulation of the Chern-Simons theories as constrained Hamiltonian systems.