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Lorentz invariance relations among parton distributions revisited

K. Goeke, A. Metz, P. V. Pobylitsa, M. V. Polyakov

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.

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.

Paper Structure

This paper contains 10 equations.