Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-10-26
Phys.Rev.84:044040,2011
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
30 pp., 4 figures. Small typos fixed, refs added
Scientific paper
10.1103/PhysRev8.4.044040
We show that the Hartle-Hawking vacuum for theories of interacting massive scalars in de Sitter space is both perturbatively well-defined and stable in the IR. Correlation functions in this state may be computed on the Euclidean section and Wick-rotated to Lorentz-signature. The results are manifestly de Sitter-invariant and contain only the familiar UV singularities. More importantly, the connected parts of all Lorentz-signature correlators decay at large separations of their arguments. Our results apply to all cases in which the free Euclidean vacuum is well defined, including scalars with masses belonging to both the complementary and principal series of $SO(D,1)$. This suggests that interacting QFTs in de Sitter -- including higher spin fields -- are perturbatively IR-stable at least when i) the Euclidean vacuum of the zero-coupling theory exists and ii) corresponding Lorentz-signature zero-coupling correlators decay at large separations. This work has significant overlap with a paper by Stefan Hollands, which is being released simultaneously.
Marolf Donald
Morrison Ian A.
No associations
LandOfFree
The IR stability of de Sitter QFT: results at all orders does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The IR stability of de Sitter QFT: results at all orders, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The IR stability of de Sitter QFT: results at all orders will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-159183