%0 Journal Article
%T Radiative corrections in metric-affine bumblebee model
%A Delhom, A.
%A Nascimento, J. R.
%A Olmo, G. J.
%A Petrov, A. Y.
%A Porfirio, P. J.
%J Physics Letters B
%D 2022
%V 826
%I Elsevier
%@ 0370-2693
%G English
%F Delhom_etal2022
%O WOS:000792884500005
%O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=5229), last updated on Fri, 27 May 2022 06:56:04 +0000
%X We consider the metric-affine formulation of bumblebee gravity, derive the field equations, and show that the connection can be written as Levi-Civita of a disformally related metric in which the bumblebee field determines the disformal part. As a consequence, the bumblebee field gets coupled to all the other matter fields present in the theory, potentially leading to nontrivial phenomenological effects. To explore this issue we compute the weak-field limit and study the resulting effective theory. In this scenario, we couple scalar and spinorial matter to the effective metric which, besides the zeroth-order Minkowskian contribution, also has the vector field contributions of the bumblebee, and show that it is renormalizable at one-loop level. From our analysis it also follows that the non-metricity of this theory is determined by the gradient of the bumblebee field, and that it can acquire a vacuum expectation value due to the contribution of the bumblebee field.
%R 10.1016/j.physletb.2022.136932
%U https://arxiv.org/abs/2010.06391
%U https://doi.org/10.1016/j.physletb.2022.136932
%P 136932-9pp