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

Adam J. Peterson; Mikhail Shifman; Gianni Tallarita

doi:10.1016/j.aop.2015.10.012

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

Adam J. Peterson, Mikhail Shifman, Gianni Tallarita

Physics and Astronomy (Twin Cities)

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

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 Z2 behavior of SO(3) windings, the topological charge of the spin vortices is of the 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.

Original language	English (US)
Pages (from-to)	515-532
Number of pages	18
Journal	Annals of Physics
Volume	363
DOIs	https://doi.org/10.1016/j.aop.2015.10.012
State	Published - Dec 1 2015

Bibliographical note

Funding Information:
The work of A.P. is supported by the Doctoral Dissertation Fellowship at the University of Minnesota. The work of M.S. is supported in part by DOE Grant Number De-Sc0011842 . G.T. is funded by Fondecyt Grant Number 3140122 . The Centro de Estudios Cientficos (CECS) is funded by the Chilean Government through the Centers of Excellence Base Financing Program of Conicyt.

Publisher Copyright:
© 2015 Elsevier Inc.

Keywords

Cholesteric liquid
Effective field theory
Spin vortex

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10.1016/j.aop.2015.10.012

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title = "Spin vortices in the Abelian-Higgs model with cholesteric vacuum structure",

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 Z2 behavior of SO(3) windings, the topological charge of the spin vortices is of the 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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N2 - 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 Z2 behavior of SO(3) windings, the topological charge of the spin vortices is of the 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.

AB - 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 Z2 behavior of SO(3) windings, the topological charge of the spin vortices is of the 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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Spin vortices in the Abelian-Higgs model with cholesteric vacuum structure

Abstract

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Keywords

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