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As we know, we can remove infrared divergences by summing over all final states with arbitrary number of soft photons. But in QCD this does not work, since gluons are not "neutral" because they carry color charge. What's more, they are massless. So can the proof in QED for infrared divergences also apply to QCD? If not, how to deal with this problem?

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  • $\begingroup$ This might be of interest to you. Schroder (arxiv.org/abs/hep-ph/0410130) suggests dimensional reduction to solve the QCD infrared problem. $\endgroup$ – Clever Feb 1 '15 at 10:45

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