HAL : in2p3-00274203, version 1
 arXiv : 0803.3832
 (A)dS exchanges and partially-massless higher spinsFrancia D., Mourad J., Sagnotti A.Nuclear Physics B (2008) - http://hal.in2p3.fr/in2p3-00274203
Physique/Physique des Hautes Energies - Théorie
(A)dS exchanges and partially-massless higher spins
D. Francia, J. Mourad1, A. Sagnotti
 1 : APC - AstroParticule et Cosmologie http://www.apc.univ-paris7.fr/ CNRS : UMR7164 – IN2P3 – Observatoire de Paris – Université Paris VII - Paris Diderot – CEA : DSM/IRFU 10, rue Alice Domon et Léonie Duquet 75205 Paris Cedex 13 France
APC - THEORIE
We determine the current exchange amplitudes for free totally symmetric tensor fields $\vf_{\mu_1 ... \mu_s}$ 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 higher-spin gauge fields and the corresponding gauge parameters $\Lambda_{\mu_1 >... \mu_{s-1}}$ are not subject to Fronsdal's trace constraints, but compensator fields $\alpha_{\mu_1 ... \mu_{s-3}}$ 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 $(ML)^2$, where $L$ is the $dS$ radius. In general they are related to the hypergeometric functions $_3F_2(a,b,c;d,e;z)$, 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.

Articles dans des revues avec comité de lecture
2008
 Nuclear Physics B (Nucl. Phys. B) Publisher Elsevier ISSN 0550-3213 (eISSN : 0550-3213)

39 pages, LATEX
 Lien vers le texte intégral : http://fr.arXiv.org/abs/0803.3832
 in2p3-00274203, version 1 http://hal.in2p3.fr/in2p3-00274203 oai:hal.in2p3.fr:in2p3-00274203 Contributeur : Simone Lantz <> Soumis le : Jeudi 17 Avril 2008, 15:06:36 Dernière modification le : Vendredi 22 Juin 2012, 21:49:23