Title
Space-time structure of polynomiality and positivity for generalized parton distributionsSpace-time structure of polynomiality and positivity for generalized parton distributions
Author
Faculty/Department
Faculty of Sciences. Physics
Research group
Elementary Particle Physics
Publication type
article
Publication
Lancaster, Pa,
Subject
Physics
Source (journal)
Physical review : D : particles and fields. - Lancaster, Pa, 1970 - 2003
Volume/pages
88(2013):10, 7 p.
ISSN
0556-2821
1550-7998
Article Reference
105023
Carrier
E-only publicatie
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
We study the space-time structure of polynomiality and positivity-the most important properties which are inherent to the generalized parton distributions (GPDs). In this connection, we reexamine the issue of the time and normal ordering in the operator definition of GPDs. We demonstrate that the contribution of the anticommutator matrix element in the collinear kinematics, which was previously argued to vanish, has to be added in order to satisfy the polynomiality condition. Furthermore, we schematically show that a new contribution due to the anticommutator modifies likewise the so-called positivity constraint, i.e., the Cauchy-Bunyakovsky-Schwarz inequality, which is another important feature of the GPDs.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/9c9ccc/6442.pdf
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