Generalized parton distributions

Unraveling hadron structure with generalized parton distributions

A O Barut and R Raczka Warsaw: Polish Scientific Publishers 1977 pp xix + 717 This book deserves to become the standard work on group representations for theoretical physicists interested in elementary particles or special relativity. In keeping with the research needs of the times, the mathematical foundations of Lie algebras and of topological groups are thoroughly covered in the substantial mathematical chapters.

https://iopscience.iop.org/article/10.1088/0031-9112/29/11/030/pdf

Theory of Group Representations and Applications

Generalized parton distributions have been introduced in recent years as a suitable theoretical tool to study the structure of the nucleon. Unifying the concepts of parton distributions and hadronic form factors, they provide a comprehensive framework for describing the quark and gluon structure of the nucleon. In this review their formal properties and modeling are discussed, summarizing the most recent developments in the phenomenological description of these functions. The status of available data is also presented.

pdf/generalized-parton-distributions-and-the-structure-of-the-2v66v2td4w.pdf

Generalized parton distributions and the structure of the nucleon

Bilocal light-ray operators which are Lorentz scalars, vectors or antisymmetric tensors, and which appear in various hard scattering QCD processes, are decomposed into operators of definite twist. These operators are harmonic tensor functions and their Taylor expansion consists of (traceless) local light-cone operators with span irreducible representations of the Lorentz group with definite spin j and common geometric twist (= dimension - spin). Some applications concerning the nonforward matrix elements of these operators and the generalization fo conformal light-cone operators of definite twist is considered. The group theoretical background of the method has been made clear.

Decomposition of nonlocal light-cone operators into harmonic operators of definite twist

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Decomposition of nonlocal light-cone operators into harmonic operators of definite twist