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.
Revisiting the minimum length in the Schwinger–Keldysh formalism / Casadio, Roberto; Kuntz, Iberê. - In: THE EUROPEAN PHYSICAL JOURNAL. C, PARTICLES AND FIELDS. - ISSN 1434-6044. - ELETTRONICO. - 80:10(2020), pp. 958.1-958.10. [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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