2017/01/31 by É. T. Akhmedov, E. T. Akhmedov, U. Moschella +5 · 58 citations
Mathematics · Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #De Sitter space #De Sitter universe #Geometry #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Resummation #Scalar (mathematics) #Series (stratigraphy) #Universe #hep-th
paper · pdf · doi:10.1103/physrevd.96.025002
published in Physical review. D/Physical review. D. 96(2) (American Physical Society) · 27 pages, no figures, The version to apper in PRD
openalex created_date 2017/02/03 · arxiv created 2017/05/17 · openalex publication_date 2017/07/06 · arxiv updated 2017/07/12 · openalex updated_date 2026/08/05
We continue a previous study about the infrared loop effects in the D-dimensional de Sitter space for a real scalar \ensuremathφ4 theory from the complementary series whose bare mass belongs to the interval (√(3))/(4)(D\ensuremath-1)<m\ensuremath≤\fracD\ensuremath-12, in units of the Hubble scale. The lower bound comes from the appearance of discrete states in the mass spectrum of the theory when that bound is violated, causing large IR loop effects in the vertices. We derive an equation which allows us to perform a self-consistent resummation of the leading IR contributions from all loops to the two-point correlation functions in an expanding Poincar'e patch of the de Sitter manifold. The resummation can be done for density perturbations of the Bunch-Davies state which violate the de Sitter isometry. There exist solutions having a singular (exploding) behavior, and therefore the backreaction can change the de Sitter geometry.