Gauging the SU(2) Skyrme model

TL;DR

This paper reformulates the SU(2) Skyrme model as a gauge theory, introduces a novel symplectic constraint conversion scheme with Wess-Zumino terms, and demonstrates its effectiveness in quantizing the system and computing the energy spectrum.

Contribution

It presents a new symplectic gauge-invariant formalism with an unambiguous Wess-Zumino term introduction, improving upon existing constraint conversion methods.

Findings

Effective energy spectrum computation for the gauge-invariant SU(2) Skyrme model.

Demonstrates advantages of the symplectic formalism over BFFT.

Validates the approach through successful quantization of the nonlinear system.

Abstract

In this paper the SU(2) Skyrme model will be reformulated as a gauge theory and the hidden symmetry will be investigated and explored in the energy spectrum computation. To this end we purpose a new constraint conversion scheme, based on the symplectic framework with the introduction of Wess-Zumino (WZ) terms in an unambiguous way. It is a positive feature not present on the BFFT constraint conversion. The Dirac's procedure for the first-class constraints is employed to quantize this gauge invariant nonlinear system and the energy spectrum is computed. The finding out shows the power of the symplectic gauge-invariant formalism when compared with another constraint conversion procedures present on the literature.