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Quantum gravity in terms of topological observables

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arxiv hep-th/0501191 v2 pith:OHELQDZ5 submitted 2005-01-24 hep-th gr-qc

Laurent Freidel , Artem Starodubtsev This is my paper · ORCID
classification hep-thgr-qc
keywords quantumgeneraltheorybecomesgravityperturbationrelativitytopological
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We recast the action principle of four dimensional General Relativity so that it becomes amenable for perturbation theory which doesn't break general covariance. The coupling constant becomes dimensionless (G_{Newton} \Lambda) and extremely small 10^{-120}. We give an expression for the generating functional of perturbation theory. We show that the partition function of quantum General Relativity can be expressed as an expectation value of a certain topologically invariant observable. This sets up a framework in which quantum gravity can be studied perturbatively using the techniques of topological quantum field theory.

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Cited by 4 Pith papers

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

  1. Symmetry TFTs for Continuous Spacetime Symmetries

    hep-th 2025-09 conditional novelty 7.0 of 10

    Continuous spacetime symmetries can be encoded in a (d+1)-dimensional BF/Chern-Simons topological field theory, whose boundary reproduces symmetry generators, symmetry breaking, and anomalies.

  2. Emergent Gravity from Topological Quantum Field Theory: Stochastic Gradient Flow Perspective away from the Quantum Gravity Problem

    gr-qc 2025-05 reject novelty 6.0 of 10

    A stochastic gradient flow of Wilczek's pre-geometric theory is claimed to interpolate between an infrared fixed point given by General Relativity and an ultraviolet fixed point given by a topological BF theory.

  3. Sandwich Construction of Symmetry TFTs for the Centre Symmetries of Chern-Simons, Yang-Mills, and Einstein Gravity

    hep-th 2025-09 conditional novelty 5.0 of 10

    Constructs AKSZ sandwich SymTFTs with stacky target spaces that encode the center symmetries of Chern-Simons, Yang-Mills, and MacDowell-Mansouri gravity.

  4. Nontrivial constitutive laws and unified structures in constrained BF theory

    hep-th 2025-04 conditional novelty 5.0 of 10

    Changing the gravitational constitutive law in BF theory does not force any change in the internal gauge-theory constitutive law, because no canonical map connects the two sectors.

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