Quantum SU(3) Skyrme model with noncanonical embedded SO(3) soliton

TL;DR

This paper introduces a novel SO(3) group soliton ansatz within the SU(3) Skyrme model, enabling a comprehensive canonical quantization in a noncanonical basis and providing explicit Lagrangian and Hamiltonian formulations.

Contribution

It presents a new SO(3) group soliton ansatz for the SU(3) Skyrme model and achieves complete canonical quantization using this approach.

Findings

Derived explicit Lagrangian and Hamiltonian densities.

Quantized the model in the fundamental SU(3) representation.

Covered all eight dimensions of the SU(3) group manifold.

Abstract

The new ansatz which is the SO(3) group soliton was defined for the SU(3) Skyrme model. The model is considered in noncanonical bases $SU(3)\supset SO(3)$ for the state vectors. A complete canonical quantization of the model have been investigated in the collective coordinate formalism for the fundamental SU(3) representation of the unitary field. The independent quantum variables manifold cover all the eight dimensions SU(3) group manifold due to the new ansatz. The explicit expressions of the Lagrangian and Hamiltonian densities are derived for this modified quantum skyrmion.