1201.3471 (E. T. Akhmedov et al.)

Comparative study of loop contributions in AdS and dS    [PDF]

E. T. Akhmedov, A. V. Sadofyev

The generic feature of non-conformal fields in Poincare patch of de Sitter
space is the presence of large IR loop corrections even for massive fields.
Moreover, in global de Sitter there are loop IR divergences for the massive
fields. Naive analytic continuation from de Sitter to Anti-de-Sitter might lead
one to conclude that something similar should happen in the latter space as
well. However, we show that there are no large IR effects in the one-loop
two-point functions in the Poincare patch of Anti-de-Sitter space even for the
zero mass minimally coupled scalar fields. As well there are neither large IR
effects nor IR divergences in global Anti-de-Sitter space even for the zero
mass.

View original: http://arxiv.org/abs/1201.3471