Diffraction scattering in Yang-Mills theories

The infrared problem in Yang-Mills theories is studied in order to elucidate aspects of high energy behavior. The integro-differential equation of Cornwall and Tiktopoulos is used to investigate quark-quark scattering in the limit λ → 0 (λ being the gluon regulator mass), s → ∞ with t fixed. The solution displays the infrared factors explicitly. When this formula is expanded in power series and the leading log is extracted one recovers the perturbation theory calculations to sixth order.