Abstract
The related roles of gauge invariance and of initial coherent/ degenerate states in the factorization of QCD processes into short-distance and long-distance parts are discussed. For ππ →μ+μ - + X it is shown that although the systematic summation over all possible spectator interactions removes the outside soft-IR divergences in the non- overlapping ladder Glauber diagrams, unphysical inside soft-IR divergences persist. So, the on-shell Glauber region is not a gauge invariant concept which can be physically isolated from radiative corrections which non-trivially involve other diagrammatic regions. It is conjectured that in QCD non-factorization is inconsistent with local gauge invariance.
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Nelson, C.A. (1983). Infrared Properties of Unusual Initial State Interactions. In: Milton, K.A., Samuel, M.A. (eds) Workshop on Non-Perturbative Quantum Chromodynamics. Progress in Physics, vol 8. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-5619-9_23
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DOI: https://doi.org/10.1007/978-1-4612-5619-9_23
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