Fermionic states in pure 4D deconstruction
arXiv:hep-ph/0410269 · doi:10.1103/PhysRevD.70.126014
Abstract
We study the structure of fermionic mass eigenstates in a pure four-dimensional deconstruction approach. Unlike the case with the usual higher dimensional deconstruction (or latticized extra dimension), here the doubling of fermionic degrees of freedom is physical, thus there is no need to invoke Wilson terms to eliminate them. The fermionic structure is shaped by two key factors, namely the boundary conditions on fermions and the ratio of two breaking scales involved. The singular value decomposition theorem of linear algebra is employed to shed light into the phenomenologically crucial role of chiral boundary conditions. In this approach, we can explain the "localization" or "delocalization" nature of fermionic zero mode in flavor space and obtain analytically all higher modes. The application of boundary conditions on fermions to the implementation of CKM quark mixing is also found.
25 pages, discussion expanded, new references added, version to appear in Physical Review D
References in corpus (15)
- (De)Constructing Dimensions
- Hierarchies without Symmetries from Extra Dimensions
- Towards a Realistic Model of Higgsless Electroweak Symmetry Breaking
- Gauge Invariant Effective Lagrangian for Kaluza-Klein Modes
- Fermions on an Interval: Quark and Lepton Masses without a Higgs
- The Standard Model in the Latticized Bulk
- Chiral fermions, orbifolds, scalars and fat branes
- Field localization in warped gauge theories
- Dynamical Electroweak Breaking and Latticized Extra Dimensions
- Localized Fermions and Anomaly Inflow via Deconstruction
- Deconstructing 5-D QED
- Almost Pure Phase Mass Matrices from Six Dimensions
- Kaluza-Klein Structure Associated With Fat Brane
- Casimir Energy in Deconstruction and the Cosmological Constant
- Freedom in electroweak symmetry breaking and mass matrix of fermions in dimensional deconstruction model