Higher-order curvature operators in causal set quantum gravity
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We construct higher-order curvature invariants in causal set quantum gravity. The motivation for this work is twofold: First, to characterize causal sets, discrete operators that encode geometric information on the emergent spacetime manifold, e.g., its curvature invariants, are indispensable. Second, to make contact with the asymptotic-safety approach to quantum gravity in Lorentzian signature and find a second-order phase transition in the phase diagram for causal sets, going beyond the discrete analog of the Einstein–Hilbert action may be critical. Therefore, we generalize the discrete d’Alembertian, which encodes the Ricci scalar, to higher orders. We prove that curvature invariants of the form R2- 2 □ R (and similar invariants at higher powers of derivatives) arise in the continuum limit.
Original language | English |
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Article number | 592 |
Journal | European Physical Journal Plus |
Volume | 138 |
Issue number | 7 |
Number of pages | 14 |
ISSN | 2190-5444 |
DOIs | |
Publication status | Published - 6 Jul 2023 |
Bibliographical note
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© 2023, The Author(s).
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