Lorentz invariance relations among parton distributions revisited

Abstract

We revisit the derivation of the so-called Lorentz invariance relations between parton distributions. In the most important cases these relations involve twist-3 and transverse momentum dependent parton distributions. It is shown that these relations are violated if the path-ordered exponential is taken into account in the quark correlator.

4 pages, minor changes, to appear in Phys. Lett. B

References in corpus (12)

• Leading-twist Single-transverse-spin asymmetries: Drell-Yan and Deep-Inelastic Scattering
• Time-reversal odd distribution functions in leptoproduction
• Final-State Interactions and Single-Spin Asymmetries in Semi-Inclusive Deep Inelastic Scattering
• The complete tree-level result up to order $1/Q$ for polarized deep-inelastic leptoproduction
• Final state interactions and gauge invariant parton distributions
• Parton Distributions in Light-Cone Gauge: Where Are the Final-State Interactions?
• Observation of a Single-Spin Azimuthal Asymmetry in Semi-Inclusive Pion Electro-Production
• Single-spin Azimuthal Asymmetries in Electroproduction of Neutral Pions in Semi-inclusive Deep-inelastic Scattering
• Precision Measurement of the Proton and Deuteron Spin Structure Functions g2 and Asymmetries A2
• Three-Quark Light-Cone Amplitudes of The Proton And Quark-Orbital-Motion Dependent Observables
• Time Reversal Odd Fragmentation Functions in Semi-Inclusive Scattering of Polarized Leptons from Unpolarized Hadrons
• Higher twist and transverse momentum dependent parton distributions: a light-front hamiltonian approach

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