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(A)dS exchanges and partially-massless higher spins

Dario Francia (Institutionen för fundamental fysik) ; Jihad Mourad ; Augusto Sagnotti
Nuclear Physics B 804, p. 383-420. (2008)
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: Higher spins, AdS space, Dam-Veltman-Zakharov discontinuity



Denna post skapades 2008-11-17. Senast ändrad 2008-11-17.
CPL Pubid: 78159

 

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Institutionen för fundamental fysik (2005-2015)

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Matematisk fysik

Chalmers infrastruktur