  We present integral equations for the scattering amplitudes of three scalar
particles, using the Faddeev channel decomposition, which can be readily
extended to any finite number of particles of any helicity. The solution of
these equations, which have been demonstrated to be calculable, provide a
non-perturbative way of obtaining relativistic scattering amplitudes for any
finite number of particles that are Lorentz invariant, unitary, cluster
decomposable and reduce unambiguously in the non-relativistic limit to the
non-relativistic Faddeev equations. The aim of this program is to develop
equations which explicitly depend upon physically observable input variables,
and do not require renormalization or dressing of these parameters to connect
them to the boundary states.
