  Following arXiv:1012.2107 we show that in global de Sitter space its isometry
is broken by the loop IR divergences for any invariant vacuum state of the
massive scalars. We derive kinetic equation in global de Sitter space. It
follows from the Dyson-Schwinger equation of the Schwinger-Keldysh diagrammatic
technique in IR limit and allows to understand the physical meaning and
consequences of the loop IR divergences. In many respects the isometry breaking
in global dS is similar to the one in the contracting Poincare patch of de
Sitter space. Hence, as a warm up exercise we study the kinetic equation and
properties of its solutions in the expanding and contracting Poincare patches
of de Sitter space. Quite unexpectedly we find that under some initial
conditions there is an explosive production of massive particles in the
expanding Poincare patch.
