Complex conjugate poles and parton distributions

Details Complex conjugate poles and parton distributions Complex conjugate poles and parton distributions

2003-05-16

arxiv.org/abs/hep-ph/0305190v1

Phys.Rev. D68 (2003) 073002

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 7 figures, RevTex4

Scientific paper

10.1103/PhysRevD.68.073002

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.

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