Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-06-03
Phys.Rev.D77:024021,2008
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, added references and comments to arXiv:0708.2004[hep-th] with some minor corrections
Scientific paper
10.1103/PhysRevD.77.024021
It has been suggested that infrared gravitons in de Sitter space may lead to a secular screening of the effective cosmological constant. This seems to clash with the naive expectation that the curvature scalar should stay constant due to the Heisenberg equation of motion. Here, we show that the tadpole correction to the local expansion rate, which has been used in earlier analyses as an indicator of a decaying effective $\Lambda$, is not gauge invariant. On the other hand, we construct a gauge invariant operator which measures the renormalized curvature scalar smeared over an arbitrary window function, and we find that there is no secular screening of this quantity (to any given order in perturbation theory).
Garriga Jaume
Tanaka Takahiro
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