SBREW 2025

On the realization of spin in field configurations of the SO(3) and SU(2) groups instead of in the su(2) algebra

10 Sept 2025, 14:00

45m

Lecture hall of Institute of Mathematics (Opava, Czech Republic)

Speaker

Manfried Faber (Techn. Univ. Wien)

Description

This is possible because the su(2) algebra only reflects some
properties of the SO(3) and SU(2) groups. I show that in a realization
of spin-1/2 configurations as topological solitons with long-range
Coulomb interaction, pairs of such solitons can be coupled to spin-0
and spin-1 states. Numerical calculations of these configurations show
that the spin-1 states have slightly higher energy than the spin-0
states.