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Hidden Non-Locality and Self-Superrenormalization of Quantum Gravity

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arxiv 2005.01961 v3 pith:6ANF3VKB submitted 2020-05-05 hep-th gr-qc

Hidden Non-Locality and Self-Superrenormalization of Quantum Gravity

classification hep-th gr-qc
keywords quantumgravitynon-localityhiddentheoryactionalthoughamplitudes
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We show that the formation/evaporation of Black Holes (BH) unitarizes quantum gravity at all the orders of the perturbation theory. Non-perturbative quantum effects save the scattering amplitudes from any polynomial divergences. Such a phenomena is intimately related to the dynamical emergence of an effective non-locality as well as emergent modifications of the Heisenberg's uncertainty principle. The BH production de-localizes quantum gravity vertices and propagators as a consequence of its holographically stored entropy. In this sense, quantum gravity is a superrenormalizable theory, although non-locality is hidden in its action.

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