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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.
Highlights
We revisit the derivation of the so-called Lorentz invariance relations between parton distributions
Parton distributions which are of higher twist and dependent on transverse parton momenta (k⊥dependent) contain important information on the structure of the nucleon which is complementary to that encoded in the usual twist-2 distributions
Certain spin asymmetries in inclusive and semi-inclusive deep inelastic scattering (DIS) as well as in the Drell–Yan process are governed by twist-3 distributions [1,2,3]
Summary
We revisit the derivation of the so-called Lorentz invariance relations between parton distributions. [6,7,8,9] several relations between twist-3 and (moments of) k⊥-dependent parton distributions have been proposed. [10] by an explicit calculation of the involved parton distributions in light front Hamiltonian QCD using a dressed quark target. We find that they are violated if the proper path-ordered exponential is taken into account in the quark correlation function.
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