GPD多项式性和正性的时空结构
Space-time structure of polynomiality and positivity for GPDs
摘要：
我们研究了广义部分子分布所固有的最重要的性质--多项式性和正性的时空结构。在这方面，我们重新审查的时间和正常的问题，在运营商的定义GPD的顺序。我们证明，共线运动学，这是以前认为消失的反换向器矩阵元素的贡献，必须添加，以满足多项式条件。此外，我们示意性地表明，一个新的贡献，由于反换向器修改同样所谓的积极性约束，即，Cauchy-Bunyakovsky-Schwarz不等式，这是GPD的另一个重要特征。
英文摘要：
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 re-examine the issue of the time- and normal- ordering in the operator definition of GPDs. We demonstrate that the contribution of the anti-commutator 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 anti-commutator modifies likewise the so-called positivity constraint, i.e., the Cauchy-Bunyakovsky-Schwarz inequality, which is another important feature of the GPDs.
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