Hopfion canonical quantization

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.

11 pages, 3 figures, Physics Letters B, in press

References in corpus (8)

• Knots in the Skyrme-Faddeev model
• Spinning Skyrmions and the Skyrme Parameters
• Massive Hopfions
• Glueball mass from quantized knot solitons and gauge-invariant gluon mass
• Investigation of the stability of Hopfions in the two-component Ginzburg-Landau model
• Skyrmion--Anti-Skyrmion Chains
• Baby Skyrmions stabilized by canonical quantization
• Canonical Quantization of SU(3) Skyrme Model in a General Representation

Cited by in corpus (5)

• Classically Isospinning Hopf Solitons
• Isospinning hopfions
• Isorotating Baby Skyrmions
• Gauged Hopfions
• Collective coordinate quantization and spin statistics of the solitons in the $\mathbb{C}{P}^N$ Skyrme-Faddeev model