Quantum Discontinuity between Zero and Infinitesimal Graviton Mass with a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Λ</mml:mi></mml:math>Term

Dilkes, F. A.; Duff, M. J.; Liu, James T.; Sati, Hisham

doi:10.1103/physrevlett.87.041301

Cited by 51 publications

(67 citation statements)

References 17 publications

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“…As we stressed in the Introduction, however, our current grasp of higher-spin gauge theories confines our analysis to the case of free fields, so that we can not connect our findings with the observations of [22], or of [23], related to the interplay of discontinuities and interactions.…”

Section: General Form Of the Current Exchangesmentioning

confidence: 67%

“…As we shall see, the result obtained in [17,18], namely that for linearized gravity the vDV Z discontinuity disappears in the presence of a cosmological constant, generalizes to all higher-spin cases. Let us stress that our results concern free fields: the arguments of [22], that ascribe the disappearance of the discontinuity for s = 2 to the classical approximation, or the considerations of [23], are clearly out of reach at the present time for higher spins. With this proviso, our conclusion will be that the flat limit of all spin-s AdS current exchanges is smooth, with no vDV Z discontinuity, and coincides with the massless flat-space result of [1].…”

Section: Introductionmentioning

confidence: 99%

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exchanges and partially-massless higher spins

Mourad²,

2008

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We determine the current exchange amplitudes for free totally symmetric tensor fields ϕ µ 1 ...µs of mass M in a d-dimensional dS space, extending the results previously obtained for s = 2 by other authors. Our construction is based on an unconstrained formulation where both the higherspin gauge fields and the corresponding gauge parameters Λ µ 1 ...µ s−1 are not subject to Fronsdal's trace constraints, but compensator fields α µ 1 ...µ s−3 are introduced for s > 2. The free massive dS equations can be fully determined by a radial dimensional reduction from a (d + 1)-dimensional Minkowski space time, and lead for all spins to relatively handy closed-form expressions for the exchange amplitudes, where the external currents are conserved, both in d and in (d+1) dimensions, but are otherwise arbitrary. As for s = 2, these amplitudes are rational functions of (M L) 2 , where L is the dS radius. In general they are related to the hypergeometric functions 3 F 2 (a, b, c; d, e; z), and their poles identify a subset of the "partially-massless" discrete states, selected by the condition that the gauge transformations of the corresponding fields contain some non-derivative terms. Corresponding results for AdS spaces can be obtained from these by a formal analytic continuation, while the massless limit is smooth, with no van Dam-Veltman-Zakharov discontinuity.

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Section: General Form Of the Current Exchangesmentioning

confidence: 67%

Section: Introductionmentioning

confidence: 99%

exchanges and partially-massless higher spins

Mourad²,

2008

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“…Of course one can ask the question about the resurrection of these extra polarizations in quantum loops. One loop effects in the massive graviton propagator in AdS 4 were discussed in [54,55]. Of course, purely four-dimensional theory with massive graviton is not well-defined and it is certainly true that if the mass term is added by hand in purely four-dimensional theory a lot of problems will emerge as it was shown in the classical paper of [56].…”

Section: Introductionmentioning

confidence: 99%

Radion in multibrane world

et al. 2002

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The radion dynamics related to the presence of moving branes with both positive or negative tensions is studied in the linearized approximation. The radion effective Lagrangian is computed for a compact system with three branes and in particular we examine the decompactification limit when one brane is sent to infinity. In the non-compact case we calculate the coupling of the gravitational modes (graviton, dilaton and radion) to matter on the branes. The character of gravity on the two branes for all possible combinations of brane tensions is also discussed. It turns out that one can have a normalizable dilaton mode even in the non-compact case. Finally, we speculate on the role of moving branes as a possible source of radion emission.

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“…Although theories with massive gravitons potentially suffer a van Dam-Veltman-Zakharov discontinuity [29,30], it was shown that this discontinuity is absent in the presence of a non-vanishing cosmological constant [31,32]. While a graviton mass arising from explicit breaking of general covariance leads to inconsistencies at the quantum level [33], no such difficulties arise when the mass is generated dynamically, as in the holographic Karch-Randall model [24,25]. Nevertheless, many issues still arise in understanding models of massive gravity.…”

Section: Introductionmentioning

confidence: 99%

Linearized gravity in the Karch–Randall braneworld

2003

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We present a linearized gravity investigation of the bent braneworld, where an AdS 4 brane is embedded in AdS 5 . While we focus on static spherically symmetric mass distributions on the brane, much of the analysis continues to hold for more general configurations. In addition to the identification of the massive Karch-Randall graviton and a tower of Kaluza-Klein gravitons, we find a radion mode that couples to the trace of the energy-momentum tensor on the brane. The Karch-Randall radion arises as a property of the embedding of the brane in the bulk space, even in the context of a single brane model. †

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Quantum Discontinuity between Zero and Infinitesimal Graviton Mass with aΛTerm

Abstract: We show that the recently demonstrated absence of the usual discontinuity for massive spin 2 with a Λ term is an artifact of the tree approximation, and that the discontinuity reappears at one loop.

Cited by 51 publications

References 17 publications

exchanges and partially-massless higher spins

exchanges and partially-massless higher spins

Radion in multibrane world

Linearized gravity in the Karch–Randall braneworld

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