Complex conjugate poles and parton distributions

Abstract

We calculate parton and generalized parton distributions in Minkowski space using a scalar propagator with a pair of complex conjugate poles. Correct spectral and support properties are obtained only after careful analytic continuation from Euclidean space. Alternately the quark distribution function can be calculated from modified cutting rules, which put the intermediate state on its complex mass shells. Distribution functions agree with those resulting from the model's Euclidean space double distribution which we calculate via non-diagonal matrix elements of twist-two operators. Thus one can use a wide class of analytic parameterizations of the quark propagator to connect Euclidean space Green functions to light-cone dominated amplitudes.

12 pages, 7 figures, RevTex4

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Cited by in corpus (14)

• Unraveling hadron structure with generalized parton distributions
• Infrared Properties of QCD from Dyson-Schwinger equations
• Analytic properties of the Landau gauge gluon and quark propagators
• Higher Fock State Contributions to the Generalized Parton Distribution of Pion
• Intrinsic Transverse Motion of the Pion's Valence Quarks
• Double distributions: Loose ends
• Estimates for Pion-Photon Transition Distributions
• Going to the light front with contour deformations
• Thermodynamic instabilities in dynamical quark models with complex conjugate mass poles
• Double distributions for the proton
• Confinement in Nuclei and the Expanding Proton
• Analytic continuation and physical content of the gluon propagator
• Removal of singularities from the covariant spectator theory
• Light-Front Dynamics and Generalized Parton Distributions