Generalized parton distributions of the pion in a Bethe-Salpeter approach

Details Generalized parton distributions of the pion in a Bethe-Salpeter approach Generalized parton distributions of the pion in a Bethe-Salpeter approach

2002-11-12

arxiv.org/abs/nucl-th/0211036v3

Eur.Phys.J.A20:483-498,2004

Physics

Nuclear Physics

Nuclear Theory

19 pages, 21 eps figures, accepted for publication in EPJA

Scientific paper

10.1140/epja/i2003-10174-3

We calculate generalized parton distribution functions in a field theoretic formalism using a covariant Bethe-Salpeter approach for the determination of the bound-state wave function. We describe the procedure in an exact calculation in scalar Electrodynamics proving that the relevant corrections outside our scheme vanish. We extend the formalism to the Nambu--Jona-Lasinio model, a realistic theory of the pion. We go in both cases beyond all previous calculations and discover that all important features required by general physical considerations, like symmetry properties, sum rules and the polynomiality condition, are explicitly verified. We perform a numerical study of their behavior in the weak and strong coupling limits.

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