Fermion spectrum and localization on kinks in a deconstructed dimension
Nahomi Kan (Yamaguchi Junior College), Koichiro Kobayashi, Kiyoshi, Shiraishi (Yamaguchi University)
TL;DR
This paper investigates fermion spectra and localization on kink-like configurations in a deconstructed scalar field theory with nonlinear interactions, revealing mass degeneracies and possible Yukawa couplings.
Contribution
It introduces a renormalizable deconstructed scalar model with kink solutions and analyzes fermion localization and mass degeneracies in this context.
Findings
Existence of kink-like configurations in the model
Degeneracy in fermion mass spectrum due to scalar configurations
Analysis of Yukawa coupling forms in the model
Abstract
We study the deconstructed scalar theory having nonlinear interactions and being renormalizable. It is shown that the kink-like configurations exist in such models. The possible forms of Yukawa coupling are considered. We find the degeneracy in mass spectrum of fermions coupled to the nontrivial scalar configuration.
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