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Singularities in Twist-3 Quark Distributions

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arxiv 1811.00938 v1 pith:4W5KC75R submitted 2018-11-02 nucl-th hep-ph

classification nucl-thhep-ph
keywords twist-3momentumdeltadiracdiscontinuitiesfunctionnucleonboosted
verification ladder T0 review T1 audit T2 compute T3 formal
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We find in one-loop calculations and spectator models that twist-3 GPDs exhibit discontinuities. In the forward limit these discontinuities grow into Dirac delta functions which are essential to satisfy the sum rules involving twist-3 PDFs. We calculate twist-3 quasi-PDFs as a function of longitudinal momentum and identify the Dirac delta function terms with momentum components in the nucleon state that do not scale as the nucleon is boosted to the infinite momentum frame.

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