Retarded field of a uniformly accelerated source in non-local scalar field theory

Abstract

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

15 pages, 5 figures, comments welcome!

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• Non-locality and gravitoelectromagnetic duality
• Ghost-free infinite-derivative dilaton gravity in two dimensions
• Exact gyratons in higher and infinite derivative gravity
• Nonlocal Lagrangian fields and the second Noether theorem. Non-commutative $U(1)$ gauge theory