We investigate the non-perturbative degrees of freedom of a class of weakly non-local gravitational theories that have been proposed as an ultraviolet completion of general relativity. At the perturbative level, it is known that the degrees of freedom of non-local gravity are the same of the Einstein–Hilbert theory around any maximally symmetric spacetime. We prove that, at the non-perturbative level, the degrees of freedom are actually eight in four dimensions, contrary to what one might guess on the basis of the “infinite number of derivatives” present in the action. It is shown that six of these degrees of freedom do not propagate on Minkowski spacetime, but they might play a role at large scales on curved backgrounds. We also propose a criterion to select the form factor almost uniquely.

Calcagni, G., Modesto, L., Nardelli, G., Non-perturbative spectrum of non-local gravity, <<PHYSICS LETTERS. SECTION B>>, 2019; 795 (795): 391-397. [doi:10.1016/j.physletb.2019.06.043] [http://hdl.handle.net/10807/146058]

Non-perturbative spectrum of non-local gravity

Nardelli, Giuseppe
2019

Abstract

We investigate the non-perturbative degrees of freedom of a class of weakly non-local gravitational theories that have been proposed as an ultraviolet completion of general relativity. At the perturbative level, it is known that the degrees of freedom of non-local gravity are the same of the Einstein–Hilbert theory around any maximally symmetric spacetime. We prove that, at the non-perturbative level, the degrees of freedom are actually eight in four dimensions, contrary to what one might guess on the basis of the “infinite number of derivatives” present in the action. It is shown that six of these degrees of freedom do not propagate on Minkowski spacetime, but they might play a role at large scales on curved backgrounds. We also propose a criterion to select the form factor almost uniquely.
2019
Inglese
Calcagni, G., Modesto, L., Nardelli, G., Non-perturbative spectrum of non-local gravity, <<PHYSICS LETTERS. SECTION B>>, 2019; 795 (795): 391-397. [doi:10.1016/j.physletb.2019.06.043] [http://hdl.handle.net/10807/146058]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/146058
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