5d Dirac fermion on quantum graph. (14th October 2019)

• Record Type: Journal Article
• Authors: Fujimoto, Yukihiro; Inoue, Tomonori; Sakamoto, Makoto; Takenaga, Kazunori; Ueba, Inori
• Is Part Of: Journal of physics. Volume 52:Number 45(2019)
• Publication Date: 2019-10-14
• Subjects: extra dimension -- quantum graph -- boundary condition -- zero mode solutions -- generation problem -- fermion mass hierarchy -- CP violating phase; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/ab4859
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: 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.