Green's function of the Vector fields on DeSitter Background

摘要: In this paper we study the propagator of a vector fields on euclidean maximally-symmetric background in arbitrary space-time dimensions. We two cases interest: Massive and massless fields. each case computed deSitter background, isolating transverse longitudinal part. both massive fields, short distance limit full agrees with flat propagator. propagator, part has well defined limit, it goes to for The antipodal point separation is nonzero negative, but vanishes (Ricci scalar going zero). diverges as $1/m^2$, where $m$ mass field. gauge dependent particular proportional parameter used fixing condition. It Landau gauge. Comparison past literature made.