Relativistic Collective Coordinate Quantization of Solitons: Spinning Skyrmion

TL;DR

This paper presents a relativistic approach to quantizing solitons, specifically applying it to spinning Skyrmions, and finds significant relativistic corrections to nucleon properties.

Contribution

It introduces a consistent relativistic generalization of collective coordinate quantization for solitons, ensuring equations of motion alignment with the original field theory.

Findings

Relativistic corrections to nucleon properties are 10-20%.

The method ensures collective coordinates obey the original equations of motion.

Application to spinning Skyrmions demonstrates the approach's effectiveness.

Abstract

We develop a consistent relativistic generalization of collective coordinate quantization of field theory solitons. Our principle of introducing collective coordinates is that the equations of motion of the collective coordinates ensure those of the original field theory. We illustrate this principle with the quantization of spinning degrees of freedom of Skyrmion representing baryons. We calculate the leading relativistic corrections to the static properties of nucleons, and find that the corrections are non-negligible ones of 10% to 20%.