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

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.",

keywords = "Cholesteric liquid, Effective field theory, Spin vortex",

author = "Peterson, {Adam J.} and Mikhail Shifman and Gianni Tallarita",

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year = "2015",

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T1 - Spin vortices in the Abelian-Higgs model with cholesteric vacuum structure

AU - Peterson, Adam J.

AU - Shifman, Mikhail

AU - Tallarita, Gianni

PY - 2015/12/1

Y1 - 2015/12/1

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.

KW - Cholesteric liquid

KW - Effective field theory

KW - Spin vortex

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DO - 10.1016/j.aop.2015.10.012

M3 - Article

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SN - 0003-4916

VL - 363

SP - 515

EP - 532

JO - Annals of Physics

JF - Annals of Physics

ER -

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

Abstract

Bibliographical note

Keywords

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