Worldlines as Wilson lines

Gravitational theories do not admit gauge invariant local operators. We study the limits under which there exists a quasilocal description for a class of nonlocal gravitational observables where a sum over worldlines plays the role of the Wilson line for gauge theory observables. We study nonlocal corrections to the local description and circumstances where these corrections become large. We find that these operators are quasilocal in flat space and anti-de Sitter, but fail to be quasilocal in de Sitter space.