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The m->0 limit for massive graviton in dS_4 and AdS_4. How to circumvent the van Dam-Veltman-Zakharov discontinuity

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Ian I. Kogan, Stavros Mouslopoulos, Antonios Papazoglou (Oxford University)

High Energy Physics - Theory · Submitted 15 Nov 2000

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We show that, by considering physics in dS_4 or AdS_4 spacetime, one can circumvent the van Dam - Veltman - Zakharov theorem which requires that the extra polarization states of a massive graviton do not decouple in the massless limit.

how it is stated · asserted 0.98 read the record →

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arXiv IDhep-th/0011138 (version 3)
Pith IDJV2PVQ2X, Pith's permanent record of this paper and its review
CitationAntonios Papazoglou (Oxford University), Ian I. Kogan, Stavros Mouslopoulos. "The m->0 limit for massive graviton in dS_4 and AdS_4. How to circumvent the van Dam-Veltman-Zakharov discontinuity." arXiv:hep-th/0011138 (2000). https://pith.science/paper/JV2PVQ2X
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,463 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.52 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.33 · compares with prior results 0.65 · mentions code or data availability 0.01.

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arXiv listing abstract v3. Results and the main claim are underlined; .

We show that, by considering physics in dS_4 or AdS_4 spacetime, one can circumvent the van Dam - Veltman - Zakharov theorem which requires that the extra polarization states of a massive graviton do not decouple in the massless limit. It is shown that the smoothness of the m->0 limit is ensured if the H (``Hubble'') parameter, associated with the horizon of the dS_4 or AdS_4 space, tends to zero slower than the mass of the graviton m.

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 We show that, by considering physics in dS_4 or AdS_4 spacetime, one can circumvent the van Dam - Veltman - Zakharov theorem which requires that the extra polarization states of a massive graviton do not decouple in the massless limit. contribution 0.51 0.88 0.85 asserted 0.98
s1 It is shown that the smoothness of the m->0 limit is ensured if the H (``Hubble'') parameter, associated with the horizon of the dS_4 or AdS_4 space, tends to zero slower than the mass of the graviton m. result 0.99 0.81 0.48 asserted 1.00

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Original abstract

We show that, by considering physics in dS_4 or AdS_4 spacetime, one can circumvent the van Dam - Veltman - Zakharov theorem which requires that the extra polarization states of a massive graviton do not decouple in the massless limit. It is shown that the smoothness of the m->0 limit is ensured if the H (``Hubble'') parameter, associated with the horizon of the dS_4 or AdS_4 space, tends to zero slower than the mass of the graviton m.

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31 arXiv papers cite this in 39 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 27 sentences without a confident label

Compares with it 3 papers
  • This limit has qualitative similarities to the partially massless limit for massive gravity in de Sitter [ref] , aswell as the chiral limit of topologically massive gravity[We thank Stanley Deser and Bayram Tekin for drawing our attention to this.] in AdS [ref] , and the zero tension limit of DGP self-acceleration [ref] .

    The Instability of Vacua in Gauss-Bonnet Gravity · Discussion · 0.93

  • Moreover, contrary to the massive gravity [ref] , [ref] , the problem of extra unwanted degree of freedom seems to persist in Hořava's theory with the cosmological constant, because the dust acts not like a mass, but as a source which cannot be switched off.

    On the infrared limit of Horava's gravity with the global Hamiltonian constraint · Introduction · 0.96

  • This is much like the well–known example of massive gravity around anti-de Sitter space (AdS), where there is no vDVZ discontinuity [ref] .

    Non-compact nonlinear sigma models · Introduction · 0.83

Cites it as support 2 papers
Cites it as background 7 papers
  • There has been much interest in the massless limit of the massive graviton propagator [ref] .

    Critical gravity as van Dam-Veltman-Zakharov discontinuity in anti de Sitter space · Introduction · 0.99

  • We will also clarify the role played by the Vainshtein mechanism [ref] at the level of the quantum corrections, given its importance in enhancing the strongly coupled interactions and curing the classical discontinuity problem [ref] which arises when taking the massless limit —this is known as the van Dam–Veltman–Zakharov (vDVZ) discontinuity [ref] .

    Quantum Corrections in Massive Gravity · Introduction · 0.83

  • Also massive gravity theories have a very characteristic feature the Van Dam-Veltman-Zakharov (vDVZ) discontinuity [ref] , the fact that as the mass of the graviton goes to zero the scalar graviton mode fails to decouple (see, however, a way out in curved space [ref] ).

    Anisotropic Extra Dimensions · Introduction · 0.86

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