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

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.

12 pages, LateX, 7 figures available on request from author. [email protected]

References in corpus (2)

• Bogomol'nyi solitons in a gauged $O(3)$ sigma model
• Topological and Nontopological Solitons in a Gauged O(3) Sigma Model with Chern-Simons term

Cited by in corpus (4)

• Vortices in a nonminimal Maxwell-Chern-Simons O(3) Sigma Model
• Vortices of $SO(2)$ gauged Skyrmions in $2+1$ dimensions
• New class of solutions of a generalized $O(3)$-sigma Chern-Simons model
• Differential configurational complexity and phase transitions of the BPS solutions in the O(3)-sigma model