Riemann correlator in de Sitter including loop corrections from conformal fields

Understand

The Riemann correlator with appropriately raised indices characterizes in a gauge-invariant way the quantum metric fluctuations around de Sitter spacetime including loop corrections from matter fields.

• Specializing to conformal fields and employing a method that selects the de Sitter-invariant vacuum in the Poincar\'e patch, we obtain the exact result for the Riemann correlator through order $H^4/m_\mathrm{p}^4$.
• The result is expressed in a manifestly de Sitter-invariant form in terms of maximally symmetric bitensors.
• Its behavior for both short and long distances (sub- and superhorizon scales) is analyzed in detail.