Singularities in twist-3 quark distributions
Fatma Aslan, Matthias Burkardt
Abstract
We find in one-loop calculations and spectator models that twist-3 generalized parton distributions exhibit discontinuities. In the forward limit, these discontinuities grow into Dirac delta functions which are essential to satisfy the sum rules involving twist-3 parton distribution functions (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.
Topics & Concepts
PartonPhysicsTwistDirac delta functionMomentum (technical analysis)NucleonClassification of discontinuitiesDirac (video compression format)QuarkDistribution functionParticle physicsGravitational singularityFunction (biology)Limit (mathematics)Distribution (mathematics)Mathematical physicsClassical mechanicsQuantum electrodynamicsStatistical physicsQuantum mechanicsMathematicsMathematical analysisGeometryNeutrinoEconomicsEvolutionary biologyBiologyFinanceParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle InteractionsHigh-Energy Particle Collisions Research