Causality aspects of two-dimensional self-dual fields are considered. We prove that there is no causal propagation for dimensionless self-dual fields whose Lagrangian does not contain dimensional parameters. It is shown that causal self-dual bosons are possible in the chiral Schwinger model which contains a dimensional charge.
Physical review. D, Particles and fields. Woodbury. Vol. 39, no. 12 (June 1989), p. 3792-3794