Predictions for High-Energy Elastic and Inelastic Scatterings inϕ3Theory

We study high-energy elastic and inelastic processes in a ${\varphi }^3$ theory based on the $s$-channel iterations of $t$-channel ladder diagrams. The main results are the following: (a) The total cross section goes to zero, a constant, or $\sim {\left(\ln s\right)}^2$ for the coupling constant being smaller than, equal to, or larger than a critical value. (b) Inelastic differential cross sections are computed and the $s$-channel unitarity is explicitly verified. (c) One-particle spectrum, multiplicity, number distribution, etc. are presented. The implications of these results to hadron physics are discussed.