2015/01/07 by I-Sheng Yang · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Conservation law #Cosmology and Gravitation Theories #Coupling (piping) #Eigenvalues and eigenvectors #Geometry #Gravitation #Massless particle #Mathematics #Nonlinear system #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Scalar field #Symmetry (geometry) #hep-th #math-ph #math.MP
paper · pdf · doi:10.1103/physrevd.91.065011
published as Phys. Rev. D 91, 065011 (2015) · 12 pages, no figures, version 2 that mutes "showkeys" correctly and added one reference
arxiv created 2015/01/07 · openalex publication_date 2015/03/11 · arxiv updated 2015/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study a massless scalar field in AdSd+1 with a nonlinear coupling \ensuremathφN 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 Nd 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.