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: High Energy Physics - Theory; High Energy Physics - Theory (hep-th); Physics; QC1-999; 0103 physical sciences; FOS: Physical sciences; 01 natural sciences

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.<br/>17 pages<br/>