Non-topological fractional fermion number in the Jackiw-Rossi model

Autor:	Almeida, Caio, Alonso-Izquierdo, Alberto, Fresneda, Rodrigo, Guilarte, Juan Mateos, Vassilevich, Dmitri
Rok vydání:	2021
Předmět:	High Energy Physics - Theory Condensed Matter - Mesoscale and Nanoscale Physics
Zdroj:	Phys. Rev. D 103, 125015 (2021)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevD.103.125015
Popis:	We compute the vacuum fermion current in $(2+1)$ dimensional Jackiw-Rossi model by using the $1/m$ expansion. The current is expressed through a weighted $\eta$-function with a matrix weight. In the presence of such a weight, the usual proof of topological nature of $\eta(0)$ is not longer applicable. Direct computations confirm the following surprising result: the fermion number induced by vortices in the Jackiw-Rossi model is \textit{not} topological. Comment: 8 pages, revtex
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2103.06826 Zobrazit plný text záznamu View this record from Arxiv