Causal fields and spin-statistics connection for massless particles in higher dimensions

In any number of spacetime dimensions, it is shown for massless particles that the usual spin-statistics connection that tensors or spinors are, respectively, bosons or fermions follows from the requirement of causality. Such fields are uniquely constructed as linear combinations of annihilation operators for particles and creation operators for antiparticles. In contrast to the massive case, there is no constraint on the existence of Majorana-type fields in any number of dimensions. The situation is also examined that allows reversal of the spin-statistics connection without contradicting causality as in the case of Faddeev-Popov ghosts.