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For this reason one sometimes speaks of mass singularities
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11744319769
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But not globally gauge invariant.
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31
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11744335297
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note
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For details, see Sect. 7 of [5] and [30]
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36
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11744309529
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note
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A fuller account of this derivation of the asymptotic interaction will be presented in § 5 as part of a more general analysis that includes the case of massless matter
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37
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11744368181
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N N Bogolyubov and D V Shirkov
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N N Bogolyubov and D V Shirkov
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38
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11744256257
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note
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In non-abelian gauge theories the gauge field also needs to be dressed in order for it to carry colour [5, 34, 35]
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41
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11744256258
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note
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The non-abelian appearance of this gauge transformation in QED arises from the fact that the dressing is field dependent and thus might not commute with the potential
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46
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2φ*φ
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50
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11744354463
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note
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It is easy to check that the phase part of the dressing does not bring in any soft divergences
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51
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11744331552
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Note that the massless tadpole diagrams of figure 5(b) do not cancel, but they, of course, do not alter the on-shell dependence of the IR-structure
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