Hopfion canonical quantization

TL;DR

This paper investigates the quantum effects on the rotational modes of spinning Hopfions with charges Q=1 and Q=2, revealing significant quantum corrections to their masses through numerical solutions.

Contribution

It introduces a canonical quantization approach for the rotational modes of Hopfions and demonstrates the impact of quantum corrections on their properties.

Findings

Quantum corrections significantly alter Hopfion masses

Numerical solutions confirm the impact of quantization on spinning configurations

Axially-symmetric solutions are effectively constructed numerically

Abstract

We study the effect of the canonical quantization of the rotational mode of the charge Q=1 and Q=2 spinning Hopfions. The axially-symmetric solutions are constructed numerically, it is shown the quantum corrections to the mass of the configurations are relatively large.