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Quantum Corrections in Massive Gravity

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arxiv 1307.7169 v2 pith:W4MEXC2P submitted 2013-07-26 hep-th astro-ph.COgr-qc

classification hep-thastro-ph.COgr-qc
keywords gravitymassiveone-loopghost-freemasspotentialquantumstructure
verification ladder T0 review T1 audit T2 compute T3 formal

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We compute the one-loop quantum corrections to the potential of ghost-free massive gravity. We show how the mass of external matter fields contribute to the running of the cosmological constant, but do not change the ghost-free structure of the massive gravity potential at one-loop. When considering gravitons running in the loops, we show how the structure of the potential gets destabilized at the quantum level, but in a way which would never involve a ghost with a mass smaller than the Planck scale. This is done by explicitly computing the one-loop effective action and supplementing it with the Vainshtein mechanism. We conclude that to one-loop order the special mass structure of ghost-free massive gravity is technically natural.

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Forward citations

Cited by 5 Pith papers

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

  1. Numerical polology: towards next-generation model-building for cosmology

    astro-ph.CO 2026-06 unverdicted novelty 7.0 of 10

    Numerical polology framework samples coupling space to discover ghost-free tensor field theories up to rank three for cosmology, then applies resulting priors to black hole superradiance, dynamical dark energy, and GW data.

  2. Diffeomorphic Scalar Duality

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    Every local scalar EFT admits a duality to an infinite class of other scalar theories via field-dependent diffeomorphisms preserving the S-matrix, extending to gravity in Einstein-Cartan formalism.

  3. Cosmological tensions in Proca-Nuevo theory

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    Fitting a one-parameter vector-tensor dark energy model to CMB, BAO, and supernova data reduces the Hubble tension to about 1.5–2σ, but the preference over ΛCDM is weak and disappears once full perturbations are included.

  4. Well-posedness of minimal dRGT massive gravity

    hep-th 2024-10 unverdicted novelty 5.0 of 10

    A first-order strongly hyperbolic formulation is derived for minimal dRGT massive gravity around Minkowski, with spin-2 graviton characteristics set by the inverse metric.

  5. Massive Gravity @ 15

    hep-th 2026-07 unverdicted

    A status review arguing that ghost-free massive gravity remains a theoretically consistent and phenomenologically viable infrared modification of General Relativity, with open UV questions.

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