Wess-Zumino Terms for the Deformed Skyrme Model

TL;DR

This paper reformulates the Skyrme model as a gauge theory with deformed geometry, introducing Wess-Zumino terms to improve the energy spectrum predictions through a gauge-invariant quantization approach.

Contribution

It presents a novel gauge-invariant formulation of the deformed Skyrme model using Wess-Zumino terms and quantizes it with the Dirac method, enhancing previous energy spectrum results.

Findings

Introduction of new free parameters from deformation

Improved energy spectrum predictions

Successful gauge-invariant quantization of the model

Abstract

A formulation of Skyrme model as an embedded gauge theory with the constraint deformed away from the spherical geometry is proposed. The gauge invariant formulation is obtained firstly generalizing the intrinsic geometry of the model and then converting the constraint to first-class through an iterative Wess-Zumino procedure. The gauge invariant model is quantized via Dirac method for first-class system. A perturbative calculation provides new free parameters related to deformation that improve the energy spectrum obtained in earlier approaches.