No Van Dam-Veltman-Zakharov Discontinuity in Ads Space

By M. Porrati. 2000

171 citations recorded by the source corpus.

We prove that the van Dam-Veltman-Zakharov discontinuity arising in the massless limit of massive gravity theories is peculiar to Minkowski space and it is not present in Anti De Sitter space, where the massless limit is smooth. More generally, the massless limit is smooth whenever the square of the graviton mass vanishes faster than the cosmological constant.

Subfields: Geometry and Topology, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/ccab5c37ca7f8915bae6d552748bfbcc35cf56ba

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Citations in the corpus

Effective field theory for massive gravitons and gravity in theory space (2002, background): “Having established that these models make sense as effective theories, there are a number of new avenues for exploration, including model building with gravity in theory space and constructing gravitational dimensions.”
Massive Gravity (2014, result): “This might suggest that in the massless limit m → 0, the helicity-0 mode decouples, which would imply the absence of the standard vDVZ discontinuity on (Anti) de Sitter [355, 426], unlike what was found on Minkowski, see Section 2.2.3, which confirms the Newtonian approximation presented in [185].”
Locally localized gravity (2000, result): “The absence of a Veltman Van Dam discontinuity [28, 29], as the mass of the graviton goes to zero is consistent with the findings of [30] †† that states that no such discontinuity exists in AdS space as long as the mass m(2) goes to zero faster than Λ.”
Massive islands (2020, methodology): “In fact, it was shown by Porrati in [26] that there is no VvDZ discontinuity in AdS and, moreover, the double limit of taking the mass to zero together with the cosmological constant 1/l2 yields a massive flat space graviton if the mass scales as 1/l, but a massless one if it scales as 1/l2 just lik”
On non-linear actions for massive gravity (2011, background): “An exception is massive gravity in AdS backgrounds which is known to not exhibit the vDVZ discontinuity at all [ 37 , 38].”
Theoretical Aspects of Massive Gravity (2011, background): “Here we will see that the vDVZ discontinuity is absent [73, 78, 79, 80].”
Spinning AdS propagators (2014, background): “Recall that there is no van Dam-Veltman-Zhakarov discontinuity in AdS [37, 38].”