Tree-level scattering amplitudes in nonlocal field theories

Abstract

We prove in two ways that, for a special class of nonlocal field theories consistent with linear and non-linear stability at the classical level, and with unitarity and super-renormalizability or finiteness at the quantum level, the $n$-point tree-level scattering amplitudes are the same as those of the underlying local theory. In particular, the $n$-point amplitudes of nonlocal gravity, with or without coupling to matter, are the same as for Einstein's general relativity.

arXiv comment1+16 pages. v2: discussion extended, references added

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• Stringballs and Planckballs for Dark Matter
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• Extra Dimensions and Fuzzy Branes in String-inspired Nonlocal Field Theory
• Generalized unitarity method for unstable particles
• Testing quantum gravity with primordial gravitational waves