Comparative study of loop contributions in AdS and dS

Details Comparative study of loop contributions in AdS and dS Comparative study of loop contributions in AdS and dS

2012-01-17

arxiv.org/abs/1201.3471v2

Physics

High Energy Physics

High Energy Physics - Theory

12 pages. Minor changes, misprints are corrected

Scientific paper

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.

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