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A proper-time cure for the conformal sickness in quantum gravity

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arxiv hep-th/0103186 v2 pith:GILBBZ4U submitted 2001-03-22 hep-th gr-qc

classification hep-thgr-qc
keywords conformalgravitylorentzianproper-timespaceunderassumptionsbehaviour
verification ladder T0 review T1 audit T2 compute T3 formal

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Starting from the space of Lorentzian metrics, we examine the full gravitational path integral in 3 and 4 space-time dimensions. Inspired by recent results obtained in a regularized, dynamically triangulated formulation of Lorentzian gravity, we gauge-fix to proper-time coordinates and perform a non-perturbative ``Wick rotation'' on the physical configuration space. Under certain assumptions about the behaviour of the partition function under renormalization, we find that the divergence due to the conformal modes of the metric is cancelled non-perturbatively by a Faddeev-Popov determinant contributing to the effective measure. We illustrate some of our claims by a 3d perturbative calculation.

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Cited by 5 Pith papers

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    hep-th 2026-08 conditional novelty 7.0 of 10

    At large Im tau the superconformal index tends to 1, and the authors show that a Picard-Lefschetz analysis of a Lorentzian-inspired bulk integral enforces this by making all exponentially large black hole saddles irre...

  3. How to tame your (black hole) saddles: Lessons from the Lorentzian Gravitational Path Integral

    hep-th 2026-03 accept novelty 6.0 of 10

    A Lorentzian path integral contour for charged AdS black holes selects a finite subset of complex saddles via Picard-Lefschetz theory, ensuring the semiclassical sum converges at finite β.

  4. Gravitational Hilbert spaces: invariant and co-invariant states, inner products, gauge-fixing, and BRST

    hep-th 2025-09 unverdicted novelty 4.0 of 10

    Reviews construction of physical inner products in canonical quantum gravity via group averaging and BRST formalism, illustrated in mini-superspace models and connected to path integrals.

  5. Nonperturbative quantum gravity unlocked through computation

    hep-th 2025-01 unverdicted novelty 1.0 of 10

    The paper argues that lattice methods based on causal dynamical triangulations offer a working nonperturbative computational route to quantum gravity and to early-universe physics.

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