Anyon and loop braiding statistics in field theories with a topological Θ term

Zhen Bi; Yi Zhuang You; Cenke Xu

doi:10.1103/PhysRevB.90.081110

Anyon and loop braiding statistics in field theories with a topological Θ term

Zhen Bi, Yi Zhuang You, Cenke Xu

Physics

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22 Scopus citations

Abstract

We demonstrate that the anyon statistics and three-loop statistics of various 2d and 3d topological phases can be derived using semiclassical nonlinear sigma model field theories with a topological Θ term. In our formalism, the braiding statistics has a natural geometric meaning: The braiding process of anyons or loops leads to a nontrivial field configuration in the space-time, which will contribute a braiding phase factor due to the Θ term.

Original language	English (US)
Article number	081110
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	90
Issue number	8
DOIs	https://doi.org/10.1103/PhysRevB.90.081110
State	Published - Aug 18 2014

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1103/PhysRevB.90.081110

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abstract = "We demonstrate that the anyon statistics and three-loop statistics of various 2d and 3d topological phases can be derived using semiclassical nonlinear sigma model field theories with a topological Θ term. In our formalism, the braiding statistics has a natural geometric meaning: The braiding process of anyons or loops leads to a nontrivial field configuration in the space-time, which will contribute a braiding phase factor due to the Θ term.",

author = "Zhen Bi and You, {Yi Zhuang} and Cenke Xu",

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AU - Bi, Zhen

AU - You, Yi Zhuang

AU - Xu, Cenke

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N2 - We demonstrate that the anyon statistics and three-loop statistics of various 2d and 3d topological phases can be derived using semiclassical nonlinear sigma model field theories with a topological Θ term. In our formalism, the braiding statistics has a natural geometric meaning: The braiding process of anyons or loops leads to a nontrivial field configuration in the space-time, which will contribute a braiding phase factor due to the Θ term.

AB - We demonstrate that the anyon statistics and three-loop statistics of various 2d and 3d topological phases can be derived using semiclassical nonlinear sigma model field theories with a topological Θ term. In our formalism, the braiding statistics has a natural geometric meaning: The braiding process of anyons or loops leads to a nontrivial field configuration in the space-time, which will contribute a braiding phase factor due to the Θ term.

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Anyon and loop braiding statistics in field theories with a topological Θ term

Abstract

All Science Journal Classification (ASJC) codes

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