(A)dS exchanges and partially-massless higher spins
| dc.creator | Francia, D. | |
| dc.creator | Mourad, J. | |
| dc.creator | Sagnotti, A. | |
| dc.date | 2008-03-26 | |
| dc.date | 2008-04-30 | |
| dc.date.accessioned | 2026-07-07T11:49:23Z | |
| dc.date.available | 2026-07-07T11:49:23Z | |
| dc.description | We determine the current exchange amplitudes for free totally symmetric tensor fields $\vf_{μ_1 ... μ_s}$ 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 $Λ_{μ_1 >... μ_{s-1}}$ 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 $(ML)^2$, 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. | |
| dc.description | 39 pages, LATEX. References added. Final version to appear in Nucl. Phys. B | |
| dc.identifier | https://arxiv.org/abs/0803.3832 | |
| dc.identifier | http://arxiv.org/abs/0803.3832 | |
| dc.identifier | Nucl.Phys.B804:383-420,2008 | |
| dc.identifier | doi:10.1016/j.nuclphysb.2008.04.023 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/203213 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | (A)dS exchanges and partially-massless higher spins | |
| dc.type | text |