Retarded field of a uniformly accelerated source in nonlocal scalar field theory

We study the retarded field sourced by a uniformly accelerated particle in nonlocal scalar theory. While presence of nonlocality regularizes at location source, we also show that Lorentz-invariant theories are particularly sensitive to somewhat unphysical assumption uniform acceleration, leading logarithmic divergences on acceleration horizon. Analytic properties Green function indicate can be removed placing appropriate sources horizon asymptotic past.