Remarks on the Collective Quantization of the SU(2) Skyrme Model

TL;DR

This paper discusses the ordering of the momentum operator in the canonical quantization of the SU(2) Skyrme Model and proposes a new definition to address infrared issues during Hamiltonian minimization.

Contribution

It introduces a novel definition for the momentum operator in the SU(2) Skyrme Model to resolve infrared problems in quantum Hamiltonian minimization.

Findings

New momentum operator definition proposed

Potential solution to infrared problem identified

Implications for quantization procedures discussed

Abstract

We point out the question of ordering momentum operator in the canonical \break quantization of the SU(2) Skyrme Model. Thus, we suggest a new definition for the momentum operator that may solve the infrared problem that appears when we try to minimize the Quantum Hamiltonian.