The Energy of Scattering Solitons in the Ward Model

TL;DR

This paper demonstrates that the energy density of scattering solitons in Ward's integrable chiral model matches that of static multi-lump solutions in the  ext{CP}^3 sigma model, elucidating energy quantization.

Contribution

It reveals a direct correspondence between scattering soliton energy densities and static multi-lump solutions, explaining energy quantization in the Ward model.

Findings

Energy density of scattering solitons equals that of static multi-lump solutions.

Provides a geometric explanation for energy quantization.

Connects Ward model solitons with  ext{CP}^3 sigma model solutions.

Abstract

The energy density of a scattering soliton solution in Ward's integrable chiral model is shown to be instantaneously the same as the energy density of a static multi-lump solution of the $\CP^3$ sigma model. This explains the quantization of the total energy in the Ward model.