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Tree-level scattering amplitudes in nonlocal field theories

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arxiv 2107.04558 v2 pith:34BYICYW submitted 2021-07-09 hep-th gr-qc

Leonardo Modesto , Gianluca Calcagni This is my paper
classification hep-thgr-qc
keywords amplitudesnonlocalfieldlevelpointsamescatteringtheories
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Eikonal, nonlocality and regular black holes

    hep-th 2026-04 unverdicted novelty 5.0 of 10

    Nonlocal form factors in D-dimensional gravity yield effective geometries whose nonlinear completion gives regular, asymptotically flat Schwarzschild deformations with de Sitter cores.

  2. Nonlocal four-fermion theory

    hep-th 2026-07 conditional novelty 4.0 of 10

    Hyperbolic Dirac form factors lower the critical coupling for dynamical mass generation in a nonlocal NJL/GN model, while oscillatory form factors raise it.

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