5d Dirac fermion on quantum graph

5d Dirac fermion on quantum graph

In this paper, we investigate a five-dimensional Dirac fermion on a quantum graph that consists of a single vertex and N loops. We find that the model possesses a rich structure of boundary conditions for wavefunctions on the quantum graph and they can be classified into distinct categories. It is t...

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Veröffentlicht in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2019-11, Vol.52 (45), p.455401
Hauptverfasser: Fujimoto, Yukihiro, Inoue, Tomonori, Sakamoto, Makoto, Takenaga, Kazunori, Ueba, Inori
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Sprache:eng
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boundary condition
extra dimension
fermion mass hierarchy
generation problem
quantum graph
violating phase
zero mode solutions
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container_issue 45
container_start_page 455401
container_title Journal of physics. A, Mathematical and theoretical
container_volume 52
creator Fujimoto, Yukihiro
Inoue, Tomonori
Sakamoto, Makoto
Takenaga, Kazunori
Ueba, Inori
description In this paper, we investigate a five-dimensional Dirac fermion on a quantum graph that consists of a single vertex and N loops. We find that the model possesses a rich structure of boundary conditions for wavefunctions on the quantum graph and they can be classified into distinct categories. It is then shown that there appear degenerate four-dimensional chiral massless fermions in the four-dimensional mass spectrum. We briefly discuss how our model could naturally solve the problems of the fermion generation, the fermion mass hierarchy and the origin of the CP-violating phase.
doi_str_mv 10.1088/1751-8121/ab4859
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source IOP Publishing Journals; Institute of Physics (IOP) Journals - HEAL-Link
subjects boundary condition
extra dimension
fermion mass hierarchy
generation problem
quantum graph
violating phase
zero mode solutions
title 5d Dirac fermion on quantum graph
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