MiS Preprint Repository

For the case of spin zero we construct conjugate pairs of operators on Fock space. On states multiplied by polarization vectors coordinate operators $Q$ conjugate to the momentum operators $P$ exist. The massive case is derived from a geometrical quantity, the massless case is realized by taking the limit $m^2\to 0$ on the one hand, on the other from conformal transformations. Crucial is the norm problem of the states on which the $Q$'s act: they determine eventually how many independent conjugate pairs exist. It is intriguing that (light-) wedge variables and hence the wedge-local case seems to be preferred.