Generalized parton distributions of the photon for nonzero skewness

Abstract

Abstract. We extend the framework of combinatorial model categories, so that the category of small presheaves over large indexing categories and ind-categories would be embraced by the new machinery called class-combinatorial model categories.The definition of the new class of model categories is based on the corresponding extension of the theory of locally presentable and accessible categories developed in the companion paper [10], where we introduced the concepts of locally class-presentable and class-accessible categories.In this work we prove that the category of weak equivalences of a nice class-combinatorial model category is class-accessible. Our extension of J. Smith localization theorem depends on the verification of a cosolution-set condition. The deepest result is that the (left Bousfield) localization of a class-combinatorial model category with respect to a strongly class-accessible localization functor is class-combinatorial again.

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Helicity-dependent generalized parton distributions for nonzero skewness

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“…More recently the deeply virtual Compton scattering (DVCS) amplitude with the photon target ( Fig.1) was calculated, and then GPD and GDA functions characterizing quark content of the photon were extracted. DVCS on a photon is therefore a kind of toy model for QCD which has been recently generalized for the case of impact parameter dependent GPDs [7,8]. This provides an incredible opportunity to test our current mathematical tools of GPDs studies.…”