The infrared structure of the quark-antiquark scattering kernel in quantumchromodynamics: A clue to the nature of the quark binding potential? |
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Authors: | Enrico C Poggio |
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Institution: | Department of Physics, Brandeis University, Waltham, Massachusetts 02154, USA |
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Abstract: | The equal rate, near-mass-shell behavior of the two particle irreducible, spin-independent, color singlet channel quark-antiquark (qq?) scattering kernel is studied to all orders in perturbation theory. A general functional form in terms of the long-distance Yang-Mills invariant charge g(t),t→0, t being the momentum transfer, is determined. Under certain conditions, the behavior of the Bethe-Salpeter iteration of this kernel in the qq? threshold regime suggests the existence of a universal qq? effective potential of the form g2effg(t)]/t. |
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