Comparative study of loop contributions in AdS and dS
arXiv:1201.3471 · doi:10.1016/j.physletb.2012.04.061
Abstract
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.
12 pages. Minor changes, misprints are corrected
References in corpus (13)
- De Sitter Space and Eternity
- Stochastic Inflationary Scalar Electrodynamics
- Semiclassical relations and IR effects in de Sitter and slow-roll space-times
- Leading Log Solution for Inflationary Yukawa
- Cosmological Dark Energy: Prospects for a Dynamical Theory
- On Resumming Inflationary Perturbations beyond One-loop
- Two Loop Scalar Bilinears for Inflationary SQED
- Interacting Field Theories in de Sitter Space are Non-Unitary
- IR divergences and kinetic equation in de Sitter space. (Poincare patch; Principal series)
- Cosmological UV/IR Divergences and de-Sitter Spacetime
- Generalizing Starobinskii's Formalism to Yukawa Theory & to Scalar QED
- Comments on QED with background electric fields
- Anti de Sitter quantum field theory and a new class of hypergeometric identities
Cited by in corpus (9)
- Lecture notes on interacting quantum fields in de Sitter space
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- Infrared dynamics of massive scalars from the complementary series in de Sitter space
- Solution of the Dyson--Schwinger equation on de Sitter background in IR limit
- Dynamical Casimir effect and surprises with loop corrections to it
- Topological surprises in de Sitter QFT in two-dimensions
- Ultraviolet phenomena in AdS self-interacting quantum field theory
- On interacting quantum fields in various charts of anti de Sitter space-time