The missing top of AdS resonance structure
arXiv:1501.00998 · doi:10.1103/PhysRevD.91.065011
Abstract
We study a massless scalar field in AdS_{d+1} with a nonlinear coupling ϕ^N and not limited to spherical symmetry. The free-field-eigenstate spectrum is strongly resonant, and it is commonly believed that the nonlinear coupling leads to energy transfer between eigenstates. We prove that when is even, the most efficient resonant channels to transfer energy are always absent. In particular, for N=3 this means no energy transfer at all. For N=4, this effectively kills half of the channels, leading to the same set of extra conservation laws recently derived for gravitational interactions within spherical symmetry.
12 pages, no figures, version 2 that mutes "showkeys" correctly and added one reference
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Cited by in corpus (8)
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- Fully resonant scalars on asymptotically AdS wormholes
- Spectroscopy instead of scattering: particle experimentation in AdS spacetime
- Gravitational systems in asymptotically anti-de Sitter space-times