Quantum discontinuity for massive spin-3/2 with a Λ term

Duff, M. J.; Liu, James T.; Sati, Hisham

doi:10.1016/j.nuclphysb.2004.01.006

Cited by 11 publications

(10 citation statements)

References 35 publications

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“…We calculate the leading heat-kernel coefficients for n spacetime dimensions and for a broad class of particle spins, including most particle types which arise within the higher-dimensional supergravities which are of the most modern interest. Similar heat-kernel calcula-tions have been performed in the past for massless particles [8,9,10], and more recently for certain massive fields in 4D [11]. The results presented herein extend these earlier calculations in several ways.…”

supporting

confidence: 82%

Ultraviolet sensitivity in higher dimensions

Hoover

Burgess

2006

J. High Energy Phys.

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Abstract:We calculate the first three Gilkey-DeWitt (heat-kernel) coefficients, a 0 , a 1 and a 2 , for massive particles having the spins of most physical interest in n dimensions, including the contributions of the ghosts and the fields associated with the appropriate generalized Higgs mechanism. By assembling these into supermultiplets we compute the same coefficients for general supergravity theories, and show that they vanish for many examples. One of the steps of the calculation involves computing these coefficients for massless particles, and our expressions in this case agree with -and extend to more general background spacetimes -earlier calculations, where these exist. Our results give that part of the low-energy effective action which depends most sensitively on the mass of heavy fields once these are integrated out. These results are used in hep-th/0504004 to compute the sensitivity to large masses of the Casimir energy in Ricci-flat 4D compactifications of 6D supergravity.

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supporting

confidence: 82%

Ultraviolet sensitivity in higher dimensions

Hoover

Burgess

2006

J. High Energy Phys.

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“…Note however that quantum anomalies remain sensitive to the mass of the field so the discontinuity is still present at this level, see Refs. [197, 204]. …”

Section: Massive and Interacting Fieldsmentioning

confidence: 99%

Massive Gravity

Rham

2014

Living Rev. Relativ.

1,034

1,062

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We review recent progress in massive gravity. We start by showing how different theories of massive gravity emerge from a higher-dimensional theory of general relativity, leading to the Dvali-Gabadadze-Porrati model (DGP), cascading gravity, and ghost-free massive gravity. We then explore their theoretical and phenomenological consistency, proving the absence of Boulware-Deser ghosts and reviewing the Vainshtein mechanism and the cosmological solutions in these models. Finally, we present alternative and related models of massive gravity such as new massive gravity, Lorentz-violating massive gravity and non-local massive gravity.

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“…We will also clarify the role played by the Vainshtein mechanism [28][29][30][31] at the level of the quantum corrections, given its importance in enhancing the strongly coupled interactions and curing the classical discontinuity problem [32][33][34][35] which arises when taking the massless limit-this is known as the van Dam-VeltmanZakharov (vDVZ) discontinuity [36,37]. Even in cases where the vDVZ discontinuity seems absent at the classical level, it has been known to reappear at the quantum level, either through anomalies in the case of spin 3=2 [38], or directly in the loops for massive spin-2 fields on AdS [34]. This paper extends the findings of Ref.…”

Section: Introductionmentioning

confidence: 99%

Quantum corrections in massive gravity

2013

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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 contributes to the running of the cosmological constant, but does 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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Quantum discontinuity for massive spin-3/2 with a Λ term

Cited by 11 publications

References 35 publications

Ultraviolet sensitivity in higher dimensions

Ultraviolet sensitivity in higher dimensions

Massive Gravity

Quantum corrections in massive gravity

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