One-loop radiative corrections in bumblebee-Stueckelberg model

This work aims to study the radiative corrections in a vector model with spontaneous Lorentz symmetry violation, known in the literature as the bumblebee model. We consider such a model with self-interaction quadratic smooth potential responsible for spontaneous Lorentz symmetry breaking. The spectr...

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Bibliographic Details
Published in:Physics letters. B 2023-09, Vol.844, p.138107, Article 138107
Main Authors: Belchior, Fernando M., Maluf, Roberto V.
Format: Article
Language:English
Subjects:
Bumblebee field
Radiative corrections
Stueckelberg field
Two point function
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Summary:This work aims to study the radiative corrections in a vector model with spontaneous Lorentz symmetry violation, known in the literature as the bumblebee model. We consider such a model with self-interaction quadratic smooth potential responsible for spontaneous Lorentz symmetry breaking. The spectrum of this model displays a transversal nonmassive mode, identified as Nambu-Goldstone, and a massive longitudinal mode. Besides the Lorentz symmetry, this model also exhibits gauge symmetry violation. To restore the gauge symmetry, we introduce the Stueckelberg field and calculate the two-point function by employing the principal-value (PV) prescription. The result is nontransversal, leading to a massive excited mode.
ISSN:0370-2693
DOI:10.1016/j.physletb.2023.138107