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Solution of the Dyson-Schwinger equation on de Sitter background in IR limit

MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons45845

Akhmedov,  E. T.
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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1202.1202
(Preprint), 206KB

PRD86_044031.pdf
(beliebiger Volltext), 171KB

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Zitation

Akhmedov, E. T., & Burda, P. (2012). Solution of the Dyson-Schwinger equation on de Sitter background in IR limit. Physical Review D, 86(4): 044031. doi:10.1103/PhysRevD.86.044031.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-000F-3F94-0
Zusammenfassung
We propose an ansatz which solves the Dyson-Schwinger equation for the real scalar fields in Poincare patch of de Sitter space. In the IR limit the Dyson-Schwinger equation for this ansatz reduces to the kinetic equation, if one considers scalar fields from the principle series. Solving the latter equation we show that under the adiabatic switching on and then off the coupling constant the Bunch-Davies vacuum relaxes to the state with the flat Gibbons-Hawking density of out-Jost harmonics on top of the corresponding de Sitter invariant out--vacuum.