Green's function of the Vector fields on DeSitter Background

Understand

In this paper we study the propagator of a vector fields on a euclidean maximally-symmetric background in arbitrary space-time dimensions.

• We study two cases of interest: Massive and massless vector fields.
• In each case we computed the propagator of the vector fields on euclidean deSitter background, isolating the transverse and longitudinal part.
• In both case of massive and massless vector fields, the short distance limit of the full propagator agrees with the flat space-time propagator.