Reggeons in pQCD

We consider the description of deep inelastic scattering by perturbative quantum chromo dynamics in the Regge-limit, specifically via the Reggeization of fundamental particles (gluons and quarks) and the description of processes by integro-differential equations such as the BFKL equation. We review the Reggeization of the gluon via Feynman diagrams in the leading-log approximation and then extend this to an original demonstration of the quark's Reggeization. In analogy to the hard Pomeron's description in terms of Reggeized gluons we consider the ρ-meson's trajectory in terms of the exchange of Reggeized quarks and derive the evolution equation describing this. The solutions of this equation, both analytic and numeric, are then looked at in some detail, and we demonstrate how the low-x behaviour is enhanced. We then make modifications to include a running coupling constant and massive propagators, and investigate the effects that these have on the asymptotics of the ρ-trajectory. (author)