Higher-order curvature operators in causal set quantum gravity
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Higher-order curvature operators in causal set quantum gravity. / de Brito, Gustavo P.; Eichhorn, Astrid; Pfeiffer, Christopher.
In: European Physical Journal Plus, Vol. 138, No. 7, 592, 06.07.2023.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Higher-order curvature operators in causal set quantum gravity
AU - de Brito, Gustavo P.
AU - Eichhorn, Astrid
AU - Pfeiffer, Christopher
N1 - Publisher Copyright: © 2023, The Author(s).
PY - 2023/7/6
Y1 - 2023/7/6
N2 - 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.
AB - 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.
U2 - 10.1140/epjp/s13360-023-04202-y
DO - 10.1140/epjp/s13360-023-04202-y
M3 - Journal article
AN - SCOPUS:85164316002
VL - 138
JO - European Physical Journal Plus
JF - European Physical Journal Plus
SN - 2190-5444
IS - 7
M1 - 592
ER -
ID: 360682781