2003/05/16 by B. C. Tiburzi, Brian C. Tiburzi, William Detmold +3
Mathematics · Physics and Astronomy · #Analytic continuation #Complex conjugate #Diagonal #Diagonal matrix #Distribution (mathematics) #Distribution function #Euclidean geometry #Euclidean space #Geometry #High-Energy Particle Collisions Research #Light cone #Mathematical analysis #Mathematical physics #Mathematics #Minkowski space #Particle physics #Particle physics theoretical and experimental studies #Parton #Physics #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Scalar (mathematics) #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.68.073002
published as Phys.Rev. D68 (2003) 073002 · 12 pages, 7 figures, RevTex4
arxiv created 2003/05/16 · openalex publication_date 2003/10/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 nondiagonal matrix elements of twist-two operators. Thus one can use a wide class of analytic parametrizations of the quark propagator to connect Euclidean space Green functions to light-cone dominated amplitudes.