More on scattering of Chern-Simons vortices

TL;DR

This paper develops a formalism to derive kinetic terms for slowly moving Chern-Simons vortices, revealing right-angle scattering behavior and applicable to nonrelativistic condensed matter models.

Contribution

It introduces a general method based on field equations to compute vortex kinetic terms, including deformations linear in velocities, applicable beyond variational frameworks.

Findings

Vortices exhibit right-angle scattering during interactions.

The formalism accounts for field deformations linear in velocities.

Applicable to nonrelativistic models in condensed matter physics.

Abstract

I derive a general formalism for finding kinetic terms of the effective Lagrangian for slowly moving Chern-Simons vortices. Deformations of fields linear in velocities are taken into account. From the equations they must satisfy I extract the kinetic term in the limit of coincident vortices. For vortices passing one over the other there is locally the right-angle scattering. The method is based on analysis of field equations instead of action functional so it may be useful also for nonvariational equations in nonrelativistic models of Condensed Matter Physics.