5d Dirac fermion on quantum graph
arXiv:1904.12458 · doi:10.1088/1751-8121/ab4859
Abstract
In this paper, we investigate a five-dimensional Dirac fermion on a quantum graph that consists of a single vertex and 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 -violating phase.
arXiv comment16 pages, 4 figures
References in corpus (39)
- The Hierarchy Problem and New Dimensions at a Millimeter
- Bulk Fields and Supersymmetry in a Slice of AdS
- Hierarchies without Symmetries from Extra Dimensions
- Kirchhoff's Rule for Quantum Wires
- Fermion Masses, Mixings and Proton Decay in a Randall-Sundrum Model
- Noncommutative Compactifications of Type I Strings on Tori with Magnetic Background Flux
- Computing Yukawa Couplings from Magnetized Extra Dimensions
- Quantum Graphs II: Some spectral properties of quantum and combinatorial graphs
- Type I Strings with F- and B-Flux
- Families as Neighbors in Extra Dimension
- Magnetized orbifold models
- A Free Particle on a Circle with Point Interaction
- Three generation magnetized orbifold models
- Three fermionic generations on a topological defect in extra dimensions
- Fast solitons on star graphs
- twisted orbifold models with magnetic flux
- Three generations on a local vortex in extra dimensions
- Classification of three-generation models on magnetized orbifolds
- Generating Small Numbers by Tunneling in Multi-Throat Compactifications
- Operator analysis of physical states on magnetized orbifolds
- Shifted orbifold models with magnetic flux
- Quark mass hierarchy and mixing via geometry of extra dimension with point interactions
- Resonant Dirac leptogenesis on throats
- Field Theory on Multi-throat Backgrounds
- phase from twisted Higgs vacuum expectation value in extra dimension
- Supersymmetry in quantum mechanics with point interactions
- Supersymmetry and discrete transformations on S^1 with point singularities
- Realization of lepton masses and mixing angles from point interactions in an extra dimension
- Hiding An Extra Dimension
- Extended supersymmetry and its reduction on a circle with point singularities
- Phase Structure of Gauge Theories on an Interval
- Dynamical generation of fermion mass hierarchy in an extra dimension
- 6d Dirac fermion on a rectangle; scrutinizing boundary conditions, mode functions and spectrum
- Non-Abelian Monopole in the Parameter Space of Point-like Interactions
- Strong coupling, discrete symmetry and flavour
- Broken Symmetry as a Stabilizing Remnant
- Supersymmetry in 6d Dirac Action
- BPS Monopole in the Space of Boundary Conditions
- Extended supersymmetry with central charges in higher dimensional Dirac action