Singularities in Twist-3 Quark Distributions

Abstract

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.

References in corpus (39)

• Gauge-Invariant Decomposition of Nucleon Spin and Its Spin-Off
• Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD
• Deeply Virtual Compton Scattering
• Parton Physics on Euclidean Lattice
• Impact Parameter Dependent Parton Distributions and Off-Forward Parton Distributions for $\zeta \to 0$
• Scaling Limit of Deeply Virtual Compton Scattering
• Impact Parameter Space Interpretation for Generalized Parton Distributions
• Theory of deeply virtual Compton scattering on the nucleon
• Asymmetric Gluon Distributions and Hard Diffractive Electroproduction
• Generalized parton distributions in impact parameter space
• Proof of Factorization for Deeply Virtual Compton Scattering in QCD
• Generalized parton correlation functions for a spin-1/2 hadron
• Factorization Theorem Relating Euclidean and Light-Cone Parton Distributions
• One-Loop Matching for Parton Distributions: Non-Singlet Case
• On the gauge invariance of the DVCS amplitude
• Twist-three effects in two-photon processes
• Matching the Quasi Parton Distribution in a Momentum Subtraction Scheme
• DVCS on the nucleon : study of the twist-3 effects
• DVCS amplitude in the parton model
• Generalized parton distributions of the pion in a Bethe-Salpeter approach
• Twist-three analysis of photon electroproduction with pion
• DVCS amplitude at tree level: Transversality, twist-3, and factorization
• Wandzura-Wilczek approximation for the twist-3 DVCS amplitude
• Measurement of Dijet Production at Low Q^2 at HERA
• DVCS amplitude with kinematical twist-3 terms
• The chirally-odd twist-3 distribution e(x)
• The chirally-odd twist-3 distribution function e(x) in the chiral quark-soliton model
• Wandzura-Wilczek approximation from generalized rotational invariance
• Violation of Sum Rules for Twist-3 Parton Distributions in QCD
• DVCS on the nucleon to the twist-3 accuracy
• Twist-three observables in deeply virtual Compton scattering on the nucleon
• The nonperturbative origin of delta-function singularity in the chirally-odd twist-3 distribution function e(x)
• Pi N sigma-term and chiral-odd twist-3 distribution function e(x) of the nucleon in the chiral quark soliton model
• Twist-3 GPDs in Deeply-Virtual Compton Scattering
• A detailed QCD analysis of twist-3 effects in DVCS observables
• Examination of Wandzura-Wilczek Relation for $g_2(x,Q^2)$ in pQCD
• Twist-4 photon helicity-flip amplitude in DVCS on a nucleon in the Wandzura-Wilczek approximation
• Structure of light front vacuum sector diagrams
• NLO corrections to the twist-3 amplitude in DVCS on a nucleon in the Wandzura-Wilczek approximation: quark case

Cited by in corpus (13)

• The role of zero-mode contributions in the matching for the twist-3 PDFs $e(x)$ and $h_L(x)$
• One-loop matching for the twist-3 parton distribution $g_T(x)$
• Pion and Kaon parton distributions in the QCD instanton vacuum
• Exploring twist-2 GPDs through quasi-distributions in a diquark spectator model
• Fundamental Properties of the Proton in Light-Front Zero Modes
• Parton distribution functions beyond leading twist from lattice QCD: The $h_L(x)$ case
• Structure of the nucleon at leading and subleading twist in the covariant parton model
• Parton distribution function for the gluon condensate
• Extraction of the higher-twist parton distribution $e(x)$ from CLAS data
• Mass structure of hadrons and light-front sum rules in t' Hooft model
• Burkhardt-Cottingham-type sum rules for light-cone and quasi-PDFs
• Tadpoles and vacuum bubbles in light-front quantization
• One-loop structure of parton distribution for the gluon condensate and "zero modes"