2012/02/29 by É. T. Akhmedov, E. T. Akhmedov, Ph. Burda · 3 citations
Mathematics · Physics and Astronomy · #Adiabatic process #Ansatz #Anti-de Sitter space #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #De Sitter space #De Sitter universe #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Poincaré conjecture #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Scalar field #de Sitter invariant special relativity #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.86.044031
20 pages, including 4 pages of Appendix. Acknowledgements corrected
openalex publication_date 2012/08/17 · arxiv created 2013/01/13 · arxiv updated 2013/05/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We propose an ansatz which solves the Dyson-Schwinger equation for the real scalar fields in a Poincar'e patch of de Sitter space in the infrared limit. The Dyson-Schwinger equation for this ansatz reduces to the kinetic equation, if one considers scalar fields from the principal series. Solving the latter equation we show that under the adiabatic switching on and then off of the coupling constant, the Bunch-Davies vacuum relaxes in future infinity to the state with the flat Gibbons-Hawking density of out-Jost harmonics on top of the corresponding de Sitter invariant out vacuum.