Nontopological fractional fermion number in the Jackiw-Rossi model

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DOI Доступ к ресурсу на сайте издателя			10.1103/PhysRevD.103.125015

Title: Nontopological fractional fermion number in the Jackiw-Rossi model
Creator: Almeida, Caio
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Alonso-Izquierdo, Alberto
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Fresneda, Rodrigo
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Guilarte, Juan Mateos
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Vassilevich, Dmitri V.
Date: 2021
DOI: 10.1103/PhysRevD.103.125015
Description: We compute the vacuum fermion current in the (2 + 1) dimensional Jackiw-Rossi model by using the 1/m expansion. The current is expressed through a weighted η-function with a matrix weight. In the presence of such a weight, the usual proof of topological nature of ηð0Þ is no longer applicable. Direct computations confirm the following surprising result; the fermion number induced by vortices in the Jackiw-Rossi model is not topological.

Created: 12-12-2022

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Физический факультет Nontopological fractional fermion number in the Jackiw-Rossi model