Vector two-point functions in maximally symmetric spaces (Q1095424)

We obtain massive and massless vector two-point functions in maximally symmetric spaces (and vacua) of any number of dimensions. These include de Sitter space and anti-de Sitter space, and their Euclidean analogs \(S^ n\) and \(H^ n\). Our method is based on a simple way of constructing every possible maximally symmetric bitensor \(T_{a...bc'...d'}(x,x')\) which carries tangent-space indices a...b at x and c'...d' at x'.