Unattainability of the trans-Planckian regime in nonlocal quantum gravity

Briscese, Fabio; Modesto, Leonardo

doi:10.1007/jhep09(2020)056

Cited by 12 publications

(7 citation statements)

References 91 publications

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“…However, the TCC also constrains models in which the period of canonical inflation is replaced by a period of k-inflation [38] or a period of superluminal sound speed [39]. The TCC also applies to holographic cosmology [40], but it is not constraining in the context of nonlocal gravity [41].…”

Section: Discussionmentioning

confidence: 99%

Trans-Planckian Censorship Conjecture and Early Universe Cosmology

Brandenberger¹

2021

Preprint

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Section: Discussionmentioning

confidence: 99%

Trans-Planckian Censorship Conjecture and Early Universe Cosmology

Brandenberger¹

2021

Preprint

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“…A unified nonlocal theory of all fundamental interactions with the aforementioned properties of the purely gravitational theories has been recently proposed in [62,63]. In the ultraviolet regime all nonlocal gravitational theories (or local with more than ten derivatives in four dimensions) are asymptotically free [58] or finite [54,59]. Theories with a number of derivatives from six to eight are super-renormalizable but, to prove asymptotic freedom, quantitative analysis and explicit computations are needed because there are divergences also at two and/or three loops.…”

Section: Universality Of the Effective Field Theory Resultsmentioning

confidence: 99%

“…and coordinates x μ = (t, r). We assume that m M, such that we can neglect contribution of the small mass m to the potentials (57) and (58). The one-loop corrections to (61) can be obtained from (40) by the substitution T μν −→ T μν + T μν m [11], where…”

Section: The Motion Of a Test Particlementioning

confidence: 99%

Universal leading quantum correction to the Newton potential

2022

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The derivation of effective quantum gravity corrections to Newton’s potential is an important step in the whole effective quantum field theory approach. We hereby add new strong arguments in favor of omitting all the diagrams with internal lines of the massive sources, and we also recalculate the corrections to the Newtonian potential using functional methods in an arbitrary parametrization of the quantum fluctuations of the metric. The general proof of the gauge- and parametrization-independence within this approach is also explicitly given. On top of that, we argue that the universality of the result holds regardless of the details of the ultraviolet completion of quantum gravity theory. Indeed, it turns out that the logarithm quantum correction depends only on the low energy spectrum of the theory that is responsible for the analytic properties of loop’s amplitudes.

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“…Last but not least, we would like to stress the correctness of our result in the ultraviolet regime, regardless the linear approximation. Indeed, the asymptotic freedom of the theory [86] at short distances guarantees the stability of the potential (or the metric) under nonlinear corrections.…”

Section: Discussionmentioning

confidence: 99%

Higher-order regularity in local and nonlocal quantum gravity

et al. 2021

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In the present work we investigate the Newtonian limit of higher-derivative gravity theories with more than four derivatives in the action, including the non-analytic logarithmic terms resulting from one-loop quantum corrections. The first part of the paper deals with the occurrence of curvature singularities of the metric in the classical models. It is shown that in the case of local theories, even though the curvature scalars of the metric are regular, invariants involving derivatives of curvatures can still diverge. Indeed, we prove that if the action contains $$2n+6$$ 2 n + 6 derivatives of the metric in both the scalar and the spin-2 sectors, then all the curvature-derivative invariants with at most 2n covariant derivatives of the curvatures are regular, while there exist scalars with $$2n+2$$ 2 n + 2 derivatives that are singular. The regularity of all these invariants can be achieved in some classes of nonlocal gravity theories. In the second part of the paper, we show that the leading logarithmic quantum corrections do not change the regularity of the Newtonian limit. Finally, we also consider the infrared limit of these solutions and verify the universality of the leading quantum correction to the potential in all the theories investigated in the paper.

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Unattainability of the trans-Planckian regime in nonlocal quantum gravity

Cited by 12 publications

References 91 publications

Trans-Planckian Censorship Conjecture and Early Universe Cosmology

Trans-Planckian Censorship Conjecture and Early Universe Cosmology

Universal leading quantum correction to the Newton potential

Higher-order regularity in local and nonlocal quantum gravity

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