PT Journal
AU Delhom, A
   Nascimento, JR
   Olmo, GJ
   Petrov, AY
   Porfirio, PJ
TI Radiative corrections in metric-affine bumblebee model
SO Physics Letters B
JI Phys. Lett. B
PY 2022
BP 136932
EP 9pp
VL 826
DI 10.1016/j.physletb.2022.136932
LA English
AB 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.
ER