The quasi-abelian limit

A new, non perturbative, eikonal method called the "quasi abelian limit" (Q AL) is suggested for high energy quark (nucleon) scattering involving the e xchange of all possible, non interacting, non abelian gluons (mesons). With this method, those functional integrals defining, e.g., the exchange of co lor cooordinates in quark-quark scattering, are replaced by a finite number of quadratures over a subset of their coordinates. Mathematically, this pr ocedure is not rigourous, because an unjustified interchange of limits has been performed. physically, it corresponds to the observation that the non perturbative sum over all color-moment fluctuations can vanish at arbitrari ly high energies. The QAL generates a result in agreement with a corrected, "contiguity" calculation, when the latter is summed over all perturbative orders.