Numerical Solutions in 5D Standing Wave Braneworld
Merab Gogberashvili, Otari Sakhelashvili, Giorgi Tukhashvili
TL;DR
This paper presents numerical solutions for matter fields in a 5D standing wave braneworld, demonstrating localization of certain fields on the brane and quantization of Kaluza-Klein modes.
Contribution
It provides the first numerical solutions for matter fields in this model, showing localization properties and mode quantization.
Findings
Left massless fermions are localized on the brane.
Right fermions are localized in the bulk.
Kaluza-Klein modes are quantized in the model.
Abstract
Within the 5D standing wave braneworld model numerical solutions of the equations for matter fields with various spins are found. It is shown that corresponding action integrals are factorizable and convergent over the extra coordinate, i.e. 4D fields are localized on the brane. We find that only left massless fermions are localized on the brane, while the right fermions are localized in the bulk. We demonstrate also quantization of Kaluza-Klein excited modes in our model.
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