Field configurations with half-integer angular momentum in purely bosonic theories without topological charge

TL;DR

This paper demonstrates that purely bosonic field theories can exhibit configurations with half-integer angular momentum without topological charge, especially in non-Abelian gauge theories with fundamental representation particles.

Contribution

It reveals the existence of half-integer angular momentum configurations in bosonic theories without topological charge, expanding understanding of angular momentum in gauge theories.

Findings

Half-integer angular momentum configurations exist in bosonic theories.

Such configurations occur even when topological magnetic charge is zero.

Applicable to non-Abelian gauge theories with fundamental particles.

Abstract

It is shown that purely bosonic field theories can have configurations with half-integral angular momentum even when the topological magnetic charge of the configuration vanishes. This result is applicable whenever there is a non-Abelian gauge theory with particles that transform in the fundamental representation of the non-Abelian symmetry group.