2021/01/05 by Nejc Čeplak, Nejc Ceplak, David Vegh
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Fourier transform #Horizon #Lyapunov exponent #Mathematical analysis #Mathematical physics #Mathematics #Momentum (technical analysis) #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Schwarzschild radius #Spacetime #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.103.106009
published as Phys. Rev. D 103, 106009 (2021) · 9 pages, 2 figures
arxiv created 2021/01/05 · openalex publication_date 2021/05/10 · arxiv updated 2021/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this note we analyze the equations of motion of a minimally coupled Rarita-Schwinger field near the horizon of an anti--de Sitter-Schwarzschild geometry. We find that at special complex values of the frequency and momentum there exist two independent regular solutions that are ingoing at the horizon. These special points in Fourier space are associated with the ``pole skipping'' phenomenon in thermal two-point functions of operators that are holographically dual to the bulk fields. We find that the leading pole-skipping point is located at a positive imaginary frequency with the distance from the origin being equal to half of the Lyapunov exponent for maximally chaotic theories.