Eikonal Estimates and Cancellations at High Energies

Using functional methods and the eikbnal model, the leading s-dependence of elastic scattering in a modified G3 theory is discussed. An approximate evaluation of ladder or tower graphs and certain nonplanar graphs reveals strong cancellations. The net contribution falls as a power of the energy rather than saturating the Froissart bound, as found in less complete treatments of multi- peripheral models.