2020/12/25 by Emil Albrychiewicz, Yasha Neiman
Physics and Astronomy · #Advanced Differential Geometry Research #Anti-de Sitter space #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #De Sitter space #De Sitter universe #Massless particle #Mathematical physics #Physics #Quantum mechanics #Scalar field #Scattering #Spacetime #Spinor #Theoretical physics #Universe #hep-th
paper · pdf · doi:10.1103/physrevd.103.065014
published as Phys. Rev. D 103, 065014 (2021) · 40 pages, 2 figures
arxiv created 2020/12/25 · openalex publication_date 2021/03/25 · arxiv updated 2021/03/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the scattering problem in the static patch of de Sitter space, i.e., the problem of field evolution between the past and future horizons of a de Sitter observer. We calculate the leading-order scattering for a conformally massless scalar with cubic interaction, as both the simplest case and a warm-up towards Yang-Mills and gravity. Our strategy is to decompose the static-patch evolution problem into a pair of more symmetric evolution problems in two Poincare patches, sewn together by a spatial inversion. To carry this out explicitly, we end up developing formulas for the momentum-space effect of inversions in flat spacetime. The geometric construction of an electron's 4-momentum and spin vectors from a Dirac spinor turns out to be surprisingly relevant.