Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-12-20
JHEP0604:057,2006
Physics
High Energy Physics
High Energy Physics - Theory
23 pages, 3 eps figures, uses JHEP.cls, small corrections and added references
Scientific paper
10.1088/1126-6708/2006/04/057
The Bunch-Davies state appears precisely thermal to a free-falling observer in de Sitter space. However, precise thermality is unphysical because it violates energy conservation. Instead, the true spectrum must take a certain different form, with the Boltzmann factor $\exp(-\beta \omega_k)$ replaced by $\exp(\Delta S)$, where $S$ is the entropy of the de Sitter horizon. The deviation from precise thermality can be regarded as an explicitly calculable correction to the Bunch-Davies state. This correction is mandatory in that it relies only on energy conservation. The modified Bunch-Davies state leads, in turn, to an ${\cal O} (H/M_p)^2$ modification of the primordial power spectrum of inflationary perturbations, which we determine.
der Schaar Jan Pieter van
Greene Brian
Parikh Maulik
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