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arXiv · 2307.14252

One-loop radiative corrections in bumblebee-Stueckelberg model

Fernando M. Belchior·Roberto V. Maluf
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Abstract

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.

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Fernando M. Belchior, Roberto V. Maluf. 2023-07-26. One-loop radiative corrections in bumblebee-Stueckelberg model. https://doi.org/10.1016/j.physletb.2023.138107

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