Generalized parton distributions and double distributions for q q-bar pions

Details Generalized parton distributions and double distributions for q q-bar pions Generalized parton distributions and double distributions for q q-bar pions

2002-12-16

arxiv.org/abs/hep-ph/0212238v2

Phys.Rev. D67 (2003) 113004

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 7 figures, RevTex4, reference added, typos corrected

Scientific paper

10.1103/PhysRevD.67.113004

We consider two simple covariant models for pions (one with scalar and the other with spin-1/2 constituents). Pion generalized parton distributions are derived by integration over the light-cone energy. The model distributions are consistent with all known properties of generalized parton distributions, including positivity. We also construct the corresponding double distributions by appealing to Lorentz invariance. These ostensibly constructed double distributions lead to different generalized parton distributions that need not respect the positivity constraints. This inconsistency arises from the ambiguity inherent in defining double distributions in a one-component formalism (even in the absence of the Polyakov-Weiss term). We demonstrate that the correct model double distributions can be calculated from non-diagonal matrix elements of twist-two operators.

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