  Electromagnetic (EM) interactions are incorporated in a recently proposed
effective field theory of the nuclear many-body problem. Earlier work with this
effective theory exhibited EM couplings that are correct only to lowest order
in both the pion fields and the electric charge. The Lorentz-invariant
effective field theory contains nucleons, pions, isoscalar scalar (\sigma) and
vector (\omega) fields, and isovector vector (\rho) fields. The theory exhibits
a nonlinear realization of SU(2)_L \times SU(2)_R chiral symmetry and has three
desirable features: it uses the same degrees of freedom to describe the
currents and the strong-interaction dynamics, it satisfies the symmetries of
the underlying QCD, and its parameters can be calibrated using
strong-interaction phenomena, like hadron scattering or the empirical
properties of finite nuclei. It has been verified that for normal nuclear
systems, the effective lagrangian can be expanded systematically in powers of
the meson fields (and their derivatives) and can be truncated reliably after
the first few orders. The complete EM lagrangian arising from minimal
substitution is derived and shown to possess the residual chiral symmetry of
massless, two-flavor QCD with EM interactions. The uniqueness of the minimal EM
current is proved, and the properties of the isovector vector and axial-vector
currents are discussed, generalizing earlier work. The residual chiral symmetry
is maintained in additional (non-minimal) EM couplings expressed as a
derivative expansion and in implementing vector meson dominance. The role of
chiral anomalies in the EM lagrangian is briefly discussed.
