# Interaction energy of Chern-Simons vortices in the gauged O(3) sigma model

Source: [Interaction energy of Chern-Simons vortices in the gauged O(3) sigma model](<https://www.sota2.com/research/paper/68fa245a2c2a3760193a2ea4>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T09:05:40.386Z

Authors: K. Arthur

Published: 1996-05-23T16:07:23.000Z

## Abstract

The purpose of this Letter is to present a computation of the interaction energy of gauged O(3) Chern-Simons vortices which are infinitely separated. The results will show the behaviour of the interaction energy as a function of the constant coupling the potential, which measures the relative strength of the matter self-coupling and the electromagnetic coupling. We find that vortices attract each other for $\\lambda \> 1 $ and repel when $\\lambda \< 1 $. When $\\lambda =1 $ there is a topological lower bound on the energy. It is possible to saturate the bound if the fields satisfy a set of first order partial differential equations.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/hep-th/9605177>)

[PDF](<https://arxiv.org/pdf/hep-th/9605177.pdf>)