Eikonal propagators for the high-energy parton-parton scattering in gauge theories

Abstract

By a direct resummation of perturbation theory in the limit of very high energy and small transferred momentum (the so-called ``eikonal'' limit), we derive expressions for the truncated-connected quark, antiquark and gluon propagators in an external gluon field, both for scalar and fermion gauge theories. These are the basic ingredients to derive ``soft'' high-energy parton-parton scattering amplitudes, using the LSZ reduction formulae and a functional integral approach.

Comments: Talk given at the ``Sixth Workshop on Non-Perturbative Quantum Chromodynamics'', Paris (France), June 5th-9th 2001 (NPQCD 01); 8 pages, LaTeX file, + 1 PS figure