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.

1+16 pages. v2: discussion extended, references added

References in corpus (7)

• Notes on non-singular models of black holes
• The Kinematic Algebra From the Self-Dual Sector
• Nonlinear stability in nonlocal gravity
• Stability of Schwarzschild singularity in non-local gravity
• Nonlocal gravity with worldline inversion symmetry
• Spherical collapse of small masses in the ghost-free gravity
• Nonlocal Spacetime-Matter