Quantization of Skyrmions

TL;DR

This paper reviews the quantization process of the Skyrme model using the rational map ansatz, discusses Finkelstein-Rubinstein constraints, and summarizes current results on quantum ground states relevant to nuclear physics.

Contribution

It demonstrates how to employ the rational map ansatz for quantization and Finkelstein-Rubinstein constraints in the Skyrme model, providing an overview of recent quantum ground state results.

Findings

Calculation of Finkelstein-Rubinstein constraints using rational map ansatz

Summary of current quantum ground state results in the Skyrme model

Outline of future research directions

Abstract

The Skyrme model is a nonlinear classical field theory which models the strong interaction between atomic nuclei. In order to compare the predictions of the Skyrme model with nuclear physics, it has to be quantized. We show, summarizing earlier work, how the rational map ansatz can be employed to calculate the Finkelstein-Rubinstein constraints which arise during quantization. Then we give an overview of current results on the quantum ground states in the Skyrme model. We end with an outlook on future work.