5d Dirac fermion on quantum graph
| Autor: | Fujimoto, Yukihiro, Inoue, Tomonori, Sakamoto, Makoto, Takenaga, Kazunori, Ueba, Inori |
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| Rok vydání: | 2019 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1751-8121/ab4859 |
| Popis: | 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 $(2N+1)$ 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. Comment: 16 pages, 4 figures |
| Databáze: | arXiv |
| Externí odkaz: |
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