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A Universal Pattern in Quantum Gravity at Infinite Distance

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arxiv 2311.01501 v1 pith:CH44J6SW submitted 2023-11-02 hep-th

classification hep-th
keywords gravityquantumfieldlambdacoupledcut-offdistanceeffective
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abstract

Quantum gravitational effects become significant at a cut-off species scale that can be much lower than the Planck scale whenever we get a parametrically large number of fields becoming light. This is expected to occur at any perturbative limit of an effective field theory coupled to gravity, or equivalently, at any infinite distance limit in the field space of the quantum gravity completion. In this note, we present a universal pattern that links the asymptotic variation rates in field space of the quantum gravity cut-off $\Lambda_{\text{sp}}$ and the characteristic mass of the lightest tower of states $m$: $\frac{\vec\nabla m}{m} \cdot\frac{\vec\nabla \Lambda_{\rm sp}}{ \Lambda_{\rm sp}}=\frac1{d-2}$, where $d$ is the spacetime dimension. This restriction can be used to make more precise several Swampland criteria that constrain the effective field theories that can be consistently coupled to quantum gravity.

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Forward citations

Cited by 11 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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    hep-th 2025-01 conditional novelty 7.0 of 10

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  4. Kaluza-Klein tower thresholds and scheme dependence of the species scale

    hep-th 2026-07 accept novelty 6.5 of 10

    Leading KK-tower local corrections to four-derivative gravity are regulator-dependent EFT matching data, while log N terms are universal within proper-time cutoffs, so species-scale definitions match only parametrically.

  5. Background instability of quintessence model in light of entropy and distance conjecture

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