6533b85dfe1ef96bd12bea46

RESEARCH PRODUCT

Generalized parton distributions of the pion in a Bethe Salpeter approach

S. NogueraVicente VentoL. Theussl

subject

PhysicsNuclear and High Energy PhysicsParticle physicsNuclear TheoryNuclear TheoryHigh Energy Physics::PhenomenologyScalar electrodynamicsFOS: Physical sciencesPartonNuclear Theory (nucl-th)Formalism (philosophy of mathematics)High Energy Physics - PhenomenologyPionDistribution functionHigh Energy Physics - Phenomenology (hep-ph)Strong couplingCovariant transformationFísica nuclearWave functionMathematical physics

description

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.

10.1140/epja/i2003-10174-3http://dx.doi.org/10.1140/epja/i2003-10174-3