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.
@article{arxiv.2307.14252,
title = {One-loop radiative corrections in bumblebee-Stueckelberg model},
author = {Fernando M. Belchior and Roberto V. Maluf},
journal= {arXiv preprint arXiv:2307.14252},
year = {2023}
}
Comments
18 pages, 3 figures, version accepted to appear in PLB