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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Nontopological fractional fermion number in the Jackiw-Rossi model

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Author(s):
Almeida, Caio [1] ; Alonso-Izquierdo, Alberto [2, 3] ; Fresneda, Rodrigo [4] ; Mateos Guilarte, Juan [3, 5] ; Vassilevich, Dmitri [6, 4]
Total Authors: 5
Affiliation:
[1] Univ Fed ABC, Grad Program Phys PPG FIS, BR-09210580 Santo Andre, SP - Brazil
[2] Univ Salamanca, Dept Matemat Aplicada, Salamanca 37008 - Spain
[3] Univ Salamanca, Inst Fis Fundamental & Matemat, IUFFyM, Salamanca 37008 - Spain
[4] CMCC Univ Fed ABC, BR-09210580 Santo Andre, SP - Brazil
[5] Univ Salamanca, Dept Fis Fundamental, Salamanca 37008 - Spain
[6] Tomsk State Univ, Phys Dept, Tomsk 634050 - Russia
Total Affiliations: 6
Document type: Journal article
Source: Physical Review D; v. 103, n. 12 JUN 21 2021.
Web of Science Citations: 0
Abstract

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 eta-function with a matrix weight. In the presence of such a weight, the usual proof of topological nature of eta(0) is no longer applicable.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. (AU)

FAPESP's process: 16/03319-6 - Non perturbative methods in quantum theory and QFT and their application to actual physical problems
Grantee:Dmitri Maximovitch Guitman
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 17/50294-1 - Quantum field theory in Dirac materials
Grantee:Dmitry Vasilevich
Support Opportunities: Regular Research Grants