  The nucleon's peripheral transverse charge and magnetization densities are
computed in chiral effective field theory. The densities are represented in
first-quantized form, as overlap integrals of chiral light-front wave functions
describing the transition of the nucleon to soft pion-nucleon intermediate
states. The orbital motion of the pion causes a large left-right asymmetry in a
transversely polarized nucleon. The effect attests to the relativistic nature
of chiral dynamics [pion momenta k = O(M_pi)] and could be observed in form
factor measurements at low momentum transfer.
