Speaker
Description
We show the explicit mode expansion of tree-level propagators in Static (or Compact) Patch of de Sitter space. We construct propagator for thermal state corresponding to arbitrary temperature $T$. We show that the propagator that respects the de Sitter isometry corresponds to the thermal state with $T = (2 \pi)^{-1}$ in the units of de Sitter curvature. Which confirms the old and well known result, making it a bit more explicit. Propagators with $T\ne(2\pi)^{-1}$ do not respect the isometry. Moreover, we show that propagators with $T \neq (2 \pi)^{-1}$ have extra singularities on the boundary of the Static Patch, as opposed to the case of $T = (2 \pi)^{-1}$. We discuss physical meaning of these observations.
We also discuss loop corrections to the propagators in the Static patch and their physical meaning both for $T = (2 \pi)^{-1}$ and $T \neq (2 \pi)^{-1}$.
