The existence of a minimum length in quantum gravity is investigated by computing the in-in expectation value of the proper distance in the Schwinger–Keldysh for- malism. No minimum geometrical length is found for arbi- trary gravitational theories to all orders in perturbation the- ory. Using non-perturbative techniques, we also show that neither the conformal sector of general relativity nor higher- derivative gravity features a minimum length. A minimum length scale, on the other hand, seems to always be present when one considers in-out amplitudes, from which one could extract the energy scale of scattering processes.
Casadio, R., Kuntz, I. (2020). Revisiting the minimum length in the Schwinger–Keldysh formalism. THE EUROPEAN PHYSICAL JOURNAL. C, PARTICLES AND FIELDS, 80(10), 1-10 [10.1140/epjc/s10052-020-08535-1].
Revisiting the minimum length in the Schwinger–Keldysh formalism
Casadio, Roberto;Kuntz, Iberê
2020
Abstract
The existence of a minimum length in quantum gravity is investigated by computing the in-in expectation value of the proper distance in the Schwinger–Keldysh for- malism. No minimum geometrical length is found for arbi- trary gravitational theories to all orders in perturbation the- ory. Using non-perturbative techniques, we also show that neither the conformal sector of general relativity nor higher- derivative gravity features a minimum length. A minimum length scale, on the other hand, seems to always be present when one considers in-out amplitudes, from which one could extract the energy scale of scattering processes.File | Dimensione | Formato | |
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