Low energy dynamics of U(1) vortices in systems with cholesteric vacuum structure

Adam J. Peterson; Mikhail Shifman; Gianni Tallarita

doi:10.1016/j.aop.2014.11.001

Low energy dynamics of U(1) vortices in systems with cholesteric vacuum structure

Adam J. Peterson, Mikhail Shifman, Gianni Tallarita

Physics and Astronomy (Twin Cities)

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

16 Scopus citations

Abstract

We discuss flux tubes in systems with U(1) gauge, and spin-orbit locked SO(3)_S+L symmetry. The spin-orbit locking is achieved explicitly in the Lagrangian by introducing a parity violating twist term which causes the spontaneous breaking of SO(3)_S+L→SO(2). Additionally, this term causes a spontaneous breaking of the translational symmetry along a particular direction. Thus, the system appears with a cholesteric vacuum under certain conditions of the parameter space. With this term, the system admits U(1) topologically stable vortices with additional structure in the vortex cores. This added structure leads to additional moduli appearing in the low energy dynamics. We determine these solutions and their low energy theory.

Original language	English (US)
Pages (from-to)	48-63
Number of pages	16
Journal	Annals of Physics
Volume	353
DOIs	https://doi.org/10.1016/j.aop.2014.11.001
State	Published - Feb 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 Científicos (CECS) is funded by the Chilean Government through the Centers of Excellence Base Financing Program of Conicyt . G.T. would like to thank the Fine Institute for Theoretical Physics at the University of Minnesota for hospitality during the completion of this work.

Publisher Copyright:
© 2014 Elsevier Inc.

Keywords

Cholesteric liquid
Effective field theory
Gapless mode

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title = "Low energy dynamics of U(1) vortices in systems with cholesteric vacuum structure",

abstract = "We discuss flux tubes in systems with U(1) gauge, and spin-orbit locked SO(3)S+L symmetry. The spin-orbit locking is achieved explicitly in the Lagrangian by introducing a parity violating twist term which causes the spontaneous breaking of SO(3)S+L→SO(2). Additionally, this term causes a spontaneous breaking of the translational symmetry along a particular direction. Thus, the system appears with a cholesteric vacuum under certain conditions of the parameter space. With this term, the system admits U(1) topologically stable vortices with additional structure in the vortex cores. This added structure leads to additional moduli appearing in the low energy dynamics. We determine these solutions and their low energy theory.",

keywords = "Cholesteric liquid, Effective field theory, Gapless mode",

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

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 Cient{\'i}ficos (CECS) is funded by the Chilean Government through the Centers of Excellence Base Financing Program of Conicyt . G.T. would like to thank the Fine Institute for Theoretical Physics at the University of Minnesota for hospitality during the completion of this work. Publisher Copyright: {\textcopyright} 2014 Elsevier Inc.",

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doi = "10.1016/j.aop.2014.11.001",

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AU - Peterson, Adam J.

AU - Shifman, Mikhail

AU - Tallarita, Gianni

N1 - 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 Científicos (CECS) is funded by the Chilean Government through the Centers of Excellence Base Financing Program of Conicyt . G.T. would like to thank the Fine Institute for Theoretical Physics at the University of Minnesota for hospitality during the completion of this work. Publisher Copyright: © 2014 Elsevier Inc.

PY - 2015/2/1

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N2 - We discuss flux tubes in systems with U(1) gauge, and spin-orbit locked SO(3)S+L symmetry. The spin-orbit locking is achieved explicitly in the Lagrangian by introducing a parity violating twist term which causes the spontaneous breaking of SO(3)S+L→SO(2). Additionally, this term causes a spontaneous breaking of the translational symmetry along a particular direction. Thus, the system appears with a cholesteric vacuum under certain conditions of the parameter space. With this term, the system admits U(1) topologically stable vortices with additional structure in the vortex cores. This added structure leads to additional moduli appearing in the low energy dynamics. We determine these solutions and their low energy theory.

AB - We discuss flux tubes in systems with U(1) gauge, and spin-orbit locked SO(3)S+L symmetry. The spin-orbit locking is achieved explicitly in the Lagrangian by introducing a parity violating twist term which causes the spontaneous breaking of SO(3)S+L→SO(2). Additionally, this term causes a spontaneous breaking of the translational symmetry along a particular direction. Thus, the system appears with a cholesteric vacuum under certain conditions of the parameter space. With this term, the system admits U(1) topologically stable vortices with additional structure in the vortex cores. This added structure leads to additional moduli appearing in the low energy dynamics. We determine these solutions and their low energy theory.

KW - Cholesteric liquid

KW - Effective field theory

KW - Gapless mode

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JO - Annals of Physics

JF - Annals of Physics

SN - 0003-4916

ER -

Low energy dynamics of U(1) vortices in systems with cholesteric vacuum structure

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