A Note on Ward's Chiral Model

TL;DR

This paper introduces a one-parameter generalization of Ward's chiral model in 2+1 dimensions, maintaining integrability and conserved quantities, with scattering behaviors influenced by the parameter.

Contribution

It presents a new integrable generalization of Ward's chiral model with conserved energy and momentum, expanding the understanding of such models.

Findings

Model remains integrable after generalization

Conserved positive-definite energy and momentum are preserved

Scattering behavior varies with the parameter value

Abstract

A one parameter generalization of Ward's chiral model in 2+1 dimensions is given. Like the original model the present one is integrable and possesses a positive-definite and conserved energy and $y$-momentum. The details of the scattering depend on the value of the parameter of the generalisation.