Estudo da compactação do éter e correções radiativas para massas Kaluza-Klein

Oliveira, Rafael de Jesus dos Santos

Estudo da compactação do éter e correções radiativas para massas Kaluza-Klein

Rafael de Jesus dos Santos Oliveira
(
- Brasilia U.
)

Mar 4, 2022

92 pages

Supervisor:

Aleksandr Nikolaievich Pinzul

Thesis: PhD

Brasilia U.

(2022)

Published: Mar 4, 2022

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Abstract: (Brasilia U.)

Through the effective theory of aether compactfication, we study what are the implications (effects) of compactification of the fifth dimension with the aether field being propagated along this extra dimension. In this context, the changes that occurred in the dispersion relations, propagator, and energy momentum tensor of the Standard Model fields are analyzed. The focus of this thesis is to address the issue of radiative corrections for the Kaluza-Klein (KK) masses in five-dimensional quantum electrodynamics supplemented by terms due to the aether field that violate the Lorentz invariance. Specifically, corrections for the KK photon masses of a fermionic one-loop are calculated. In general, the KK masses receive radiative corrections due to the breaking of the five-dimensional Lorentz invariance by compaction. As shown, the presence of the additional Lorentz violation factor, aether as a background, leads to a nontrivial modification of these corrections. This model may be of interest in addressing important phenomenological issues such as the relation between radiative corrected KK mass splitting of a particular mode and uncertainties in the measurements and/or possible spatial variation of the fine-structure constant. For the recent data on the fine-structure constant, a KK mass splitting of magnitude ∼ 0.01 MeV is found for the first excited Kaluza-Klein boson on the TeV scale. On the other hand, the large KK modes limit displays a very interesting phenomenon, showing the very special role of the aether in protecting the higher modes from the quantum corrections.

Compactação éter
Invariância de Lorentz
Massas Kaluza-Klein

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