Аннотация
Considering quantum gravity within the framework of effective field
theory, we investigated the consequences of spontaneous Lorentz
violation for the gravitational potential. In particular, we focus our
attention on the bumblebee models, in which the graviton couples to a
vector B-mu that assumes a nonzero vacuum expectation value. The leading
order corrections for the nonrelativistic potential are obtained from
calculation of the scattering matrix of two scalar particles interacting
gravitationally. These corrections imply anisotropic properties
associated with the bumblebee background and also add a Darwin-like term
for Newton's potential.
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