1202.1202 (E. T. Akhmedov et al.)

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

E. T. Akhmedov, Ph. Burda

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.

View original: http://arxiv.org/abs/1202.1202