Why Does the Pomeranchuk Singularity Have a Unit Intercept?

Abstract

We suggest, contrary to the spirit of the Amati-Fubini-Stanghellini multiperipheral model and a ${\varphi }^3$ ladder theory, that the relation ${\alpha }_{\mathrm{P}}\mathrm{}\left(0\right)=1\mathrm{}$ is independent of the strength of the strong interaction. We propose that the "zero strength" ($g\to 0$) limit of a future correct strong-interaction theory will collapse into a vector-type field theory, guaranteeing ${\alpha }_{\mathrm{P}}\mathrm{}\left(0\right)=1\mathrm{}$ even as $g\to 0$. The intercept of the leading non-Pomeranchukon exchange then becomes lower when $g$ increases. Specific models which are consistent with this approach lead to a new relation between this intercept and the moments of the multiplicity distribution.