  Integral equations for meson-baryon scattering amplitudes are obtained by
utilizing time-ordered perturbation theory for a manifestly Lorentz-invariant
formulation of baryon chiral perturbation theory. Effective potentials are
defined as sums of two-particle irreducible contributions of time-ordered
diagrams and the scattering amplitudes are obtained as solutions of integral
equations. Ultraviolet renormalizability is achieved by solving integral
equations for the leading order amplitude and including higher order
corrections perturbatively. As an application of the developed formalism,
pion-nucleon scattering is considered.
