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Causality Constrains Higher Curvature Corrections to Gravity

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arxiv hep-th/0612015 v1 pith:6LKKFQYV submitted 2006-12-04 hep-th astro-phgr-qc

classification hep-thastro-phgr-qc
keywords causalityconstrainscorrectionsgravityactioncandidateconstitutesconstraint
verification ladder T0 review T1 audit T2 compute T3 formal

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We show that causality constrains the sign of quartic Riemann corrections to the Einstein-Hilbert action. Our constraint constitutes a restriction on candidate theories of quantum gravity.

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Cited by 9 Pith papers

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

  1. Multipositivity Bounds for Scattering Amplitudes

    hep-th 2025-05 conditional novelty 8.0 of 10

    Scattering residues at any multiplicity form positive semidefinite moment matrices, yielding an infinite web of multipositivity bounds that the open string exactly saturates.

  2. Partial Waves for Multipositivity

    hep-th 2026-08 conditional novelty 7.0 of 10

    The paper constructs kinematic charts and partial-wave expansions for four-, five-, and six-point massless planar amplitudes tailored to multipositivity bounds.

  3. Gravitational waveforms from binaries in higher-derivative gravity: a Love story

    gr-qc 2026-06 unverdicted novelty 7.0 of 10

    In higher-derivative gravity, the leading correction to extreme-mass-ratio inspiral waveforms and fluxes enters at 5PN order and is controlled by the ℓ=2 tidal Love number.

  4. Consistency of the Standard Model Effective Field Theory

    hep-ph 2019-08 accept novelty 7.0 of 10

    Causality and analyticity of scattering amplitudes imply 27 independent bounds on the dimension-eight bosonic operators of the Standard Model Effective Field Theory.

  5. Effective Field Theory of Gravity to All Orders

    hep-ph 2019-08 conditional novelty 7.0 of 10

    The authors derive the complete non-redundant operator basis for gravity coupled to the Standard Model up to mass dimension 8, and for pure gravity up to dimension 10.

  6. Multipositivity Constrains the Chiral Lagrangian

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    Multipositivity bounds derived from planar tree-level scattering amplitudes constrain Wilson coefficients of the chiral Lagrangian from below by the chiral anomaly.

  7. The Equivalence Principle at High Energies Completes the Spectrum

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    Tree-level gravitational scattering under the equivalence principle mandates single-particle states in all irreducible representations constructible from a single seed charge, with equal interaction strengths.

  8. Amplitudes and partial wave unitarity bounds

    hep-ph 2025-04 unverdicted novelty 6.0 of 10

    Develops spinor-helicity formalism generalizing partial wave unitarity bounds for multi-particle scattering and spin-2 or higher-spin theories.

  9. The Speed of Gravity

    hep-th 2019-09 conditional novelty 6.0 of 10

    In the standard effective field theory of gravity, gravitational waves on cosmological backgrounds propagate at a speed differing from unity, and analyticity arguments favor superluminal speed relative to matter.

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