Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-10-19
Phys.Rev. D70 (2004) 126014
Physics
High Energy Physics
High Energy Physics - Phenomenology
25 pages, discussion expanded, new references added, version to appear in Physical Review D
Scientific paper
10.1103/PhysRevD.70.126014
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.
Hung Pham Quang
Tran Ngoc-Khanh
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