Spin vortices in the Abelian-Higgs model with cholesteric vacuum structure

Adam Peterson; Mikhail Shifman; Gianni Tallarita

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arXiv · 1508.01490

Spin vortices in the Abelian-Higgs model with cholesteric vacuum structure

Adam Peterson·Mikhail Shifman·Gianni Tallarita

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Abstract

We continue the study of $U(1)$ vortices with cholesteric vacuum structure. A new class of solutions is found which represent global vortices of the internal spin field. These spin vortices are characterized by a non-vanishing angular dependence at spatial infinity, or winding. We show that despite the topological $\mathbb{Z}_2$ behavior of $SO(3)$ windings, the topological charge of the spin vortices is of the $\mathbb{Z}$ type in the cholesteric. We find these solutions numerically and discuss the properties derived from their low energy effective field theory in $1+1$ dimensions.

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Adam Peterson, Mikhail Shifman, Gianni Tallarita. 2015-08-06. Spin vortices in the Abelian-Higgs model with cholesteric vacuum structure. https://arxiv.org/abs/1508.01490

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