Radiative corrections in metric-affine bumblebee model

• DOI: 10.1016/j.physletb.2022.136932
• Publication Date: 2022-01-29T04:10:27Z
• Authors: Adria Delhom; J.R. Nascimento; Gonzalo J. Olmo; A.Yu. Petrov; P.J. Porfírio
• Keywords: Bumblebee

We consider the metric-affine formulation of bumblebee gravity, derive field equations, and show that connection can be written as Levi-Civita a disformally related metric in which determines disformal part. As consequence, gets coupled to all other matter fields present theory, potentially leading nontrivial phenomenological effects. To explore this issue we compute weak-field limit study resulting effective theory. In scenario, couple scalar spinorial which, besides zeroth-order Minkowskian contribution, also has vector contributions bumblebee, it is renormalizable at one-loop level. From our analysis follows non-metricity theory determined by gradient field, acquire vacuum expectation value due contribution field.