Lagrangian Formulation of the General Modified Chiral Model

TL;DR

This paper develops a Lagrangian and Hamiltonian framework for the general modified chiral model, including explicit examples and conservation properties, advancing theoretical understanding of its structure.

Contribution

It introduces a Lagrangian formulation for the general modified chiral model and derives its Hamiltonian formalism and commutation relations.

Findings

Hamiltonian contains a Wess-Zumino term and is conserved

Explicit examples demonstrate the model's properties

Commutation relations for the chiral field are derived

Abstract

We present a Lagrangian formulation for the general modified chiral model. We use it to discuss the Hamiltonian formalism for this model and to derive the commutation relations for the chiral field. We look at some explicit examples and show that the Hamiltonian, containing a contribution involving a Wess-Zumino term, is conserved, as required.