Diffraction Scattering in Quantum Chromodynamics

Abstract

The infrared problem in quantum chromodynamics 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. Having argued that the infrared singular terms in the equation are independent of the renormalization mass M, asymptotic freedom can be used to evaluate the remainder. Some remarks are made on the scattering of color-singlet quark clusters with a view towards solving the physical problem.

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