Abstract
Based on the ultraviolet asymptotic freedom of nonlocal quantum gravity, we show that the trans-Planckian energy regime is unattainable in laboratory experiments. As physical implications, it turns out that the violation of causality, typical of nonlocal field theories, can never be detected in particle accelerators, while the asymptotic freedom of the theory provides an elegant solution to the so called trans-Planckian cosmological problem.
Highlights
JHEP09(2020)056 scalar perturbations generated during inflation is the same as in the local Starobinsky R2 inflation [54], while the spectrum of tensor perturbations is affected by the nonlocality, see [55,56,57] for the details
Based on the ultraviolet asymptotic freedom of nonlocal quantum gravity, we show that the trans-Planckian energy regime is unattainable in laboratory experiments
In this paper we have considered the generalized framework of nonlocal quantum gravity, in which all the fields are nonlocal
Summary
JHEP09(2020) scalar perturbations generated during inflation is the same as in the local Starobinsky R2 inflation [54], while the spectrum of tensor perturbations is affected by the nonlocality, see [55,56,57] for the details. We show that the ultraviolet asymptotic freedom of nonlocal quantum gravity provides an elegant solution to the cosmological trans-Planckian problem [58,59,60,61,62,63,64,65]. CMB data suggest the contrary [66], showing an agreement with the standard picture based on general relativity coupled to a scalar field description of matter. This fact is commonly known as cosmological trans-Planckian problem, 53, 55–57]. Since nonlocal quantum gravity is Lorentz invariant and it does not contain extra particles, and since all the fields are asymptotically above ENL, quantum gravity corrections are naturally suppressed during all the stages of inflation
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