Hamiltonian reduction of the $U_{EM}(1)$ gauged three flavour WZW model

TL;DR

This paper applies the Faddeev-Jackiw method to analyze the three-flavour Wess-Zumino model coupled to electromagnetism, deriving Coulomb-gauge Hamiltonian densities through a systematic expansion in Goldstone boson fields.

Contribution

It introduces a Hamiltonian reduction approach for the gauged WZW model using the Faddeev-Jackiw method, providing explicit Coulomb-gauge Hamiltonian densities.

Findings

Derived Coulomb-gauge Hamiltonian densities up to second and third order.

Provided a systematic constraint analysis of the gauged WZW model.

Enhanced understanding of the Hamiltonian structure in gauged chiral models.

Abstract

The three-flavour Wess-Zumino model coupled to electromagnetism is treated as a constraint system using the Faddeev-Jackiw method. Expanding into series of powers of the Goldstone boson fields and keeping terms up to second and third order we obtain Coulomb-gauge hamiltonian densities.