Non-Abelian vortex lattices

Gianni Tallarita; Adam Peterson

doi:10.1103/PhysRevD.97.076003

Non-Abelian vortex lattices

Gianni Tallarita, Adam Peterson

Faculty of Liberal Arts

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

4 Scopus citations

Abstract

We perform a numerical study of the phase diagram of the model proposed in [M. Shifman, Phys. Rev. D 87, 025025 (2013).PRVDAQ1550-799810.1103/PhysRevD.87.025025], which is a simple model containing non-Abelian vortices. As per the case of Abrikosov vortices, we map out a region of parameter space in which the system prefers the formation of vortices in ordered lattice structures. These are generalizations of Abrikosov vortex lattices with extra orientational moduli in the vortex cores. At sufficiently large lattice spacing the low energy theory is described by a sum of CP(1) theories, each located on a vortex site. As the lattice spacing becomes smaller, when the self-interaction of the orientational field becomes relevant, only an overall rotation in internal space survives.

Original language	English
Article number	073005
Journal	Physical Review D
Volume	97
Issue number	7
DOIs	https://doi.org/10.1103/PhysRevD.97.076003
State	Published - 1 Apr 2018

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10.1103/PhysRevD.97.076003

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abstract = "We perform a numerical study of the phase diagram of the model proposed in [M. Shifman, Phys. Rev. D 87, 025025 (2013).PRVDAQ1550-799810.1103/PhysRevD.87.025025], which is a simple model containing non-Abelian vortices. As per the case of Abrikosov vortices, we map out a region of parameter space in which the system prefers the formation of vortices in ordered lattice structures. These are generalizations of Abrikosov vortex lattices with extra orientational moduli in the vortex cores. At sufficiently large lattice spacing the low energy theory is described by a sum of CP(1) theories, each located on a vortex site. As the lattice spacing becomes smaller, when the self-interaction of the orientational field becomes relevant, only an overall rotation in internal space survives.",

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Non-Abelian vortex lattices

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