Non-Abelian Eikonal Formalism in QCD_4

Abstract

Using a new technique for the extraction of leading-log energy dependence from the non-Abelian portion of quark-line interactions, hadronic scattering amplitudes may be represented in terms of functional integrals over gluonic material exchanged between scattering quarks. If that material is further represented by a condensed tube of gluonic flux (obtained by dimensional transmutation), these functional integrals will produce effective propagators corresponding to plasma oscillations, or ``condensons'', in this condensed gluonic material. These condensons yield a non-zero, non-tachyonic, finite, gauge-invariant contribution only when the gluonic flux tube corresponds to a ``rigid string'' of negligible thickness, so that this formalism provides a natural mechanism for a ``dynamical string'' in QCD4. Summation over a subset of such relevant condensons (at least in SU(2)) generates a form of the Donnachie-Landshoff Pomeron for the scattering amplitude. Other, non-condensate approaches are also available.