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We investigate the issue of regularization/renormalization in the presence of a nontrivial background in the case of 1+1-(supersymmetric) solitons. In particular we study and compare the commonly employed regularization methods (mode-…

高能物理 - 理论 · 物理学 2007-05-23 Robert Wimmer

In this talk we reexamine the possibility of evaluating parton distribution functions from lattice simulations. We show that, while in principle individual moments can be extracted from lattice data, in all cases the process of…

高能物理 - 格点 · 物理学 2018-11-27 Giancarlo Rossi , Massimo Testa

We regularize in a continuous manner the path integral of QED by construction of a non-local version of its action by means of a regularized form of Dirac's $\delta$ functions. Since the action and the measure are both invariant under the…

高能物理 - 理论 · 物理学 2010-01-07 J. L. Jacquot

I review progress on selected issues connected with generalized parton distributions. Topics range from the description of hard exclusive reactions to the spatial distribution of quarks in the nucleon and the contribution of their orbital…

高能物理 - 唯象学 · 物理学 2009-11-11 M. Diehl

We investigate the connection of lattice calculations of moments of isovector parton distributions to the physical regime through extrapolations in the quark mass. We consider the one pion loop renormalisation of the nucleon matrix elements…

高能物理 - 格点 · 物理学 2009-11-07 W. Detmold , W. Melnitchouk , A. W. Thomas

We recall the physical features of the parton distributions in the quantum statistical approach of the nucleon, which allows to describe simultaneously, unpolarized and polarized Deep Inelastic Scattering data. Some predictions from a…

高能物理 - 唯象学 · 物理学 2015-05-27 Jacques Soffer

The point-splitting regularization technique for composite operators is discussed in connection with anomaly calculation. We present a pedagogical and self-contained review of the topic with an emphasis on the technical details. We also…

高能物理 - 理论 · 物理学 2015-06-26 J. Novotny , M. Schnabl

The link between the nucleon generalized parton distributions and the non-diagonal one-body density matrix in momentum space is studied. Attention is focussed on the region where quark generalized parton distributions (GPD's) describe…

高能物理 - 唯象学 · 物理学 2009-11-07 S. Boffi , B. Pasquini , M. Traini

We argue that parton distributions in coordinate space provide a more natural object for nonperturbative methods compared to the usual momentum distributions in which the physics of different longitudinal distances is being mixed. To…

高能物理 - 唯象学 · 物理学 2009-10-28 V. Braun , P. Górnicki , L. Mankiewicz

This paper explores the process of optimal quantization for several types of discrete probability distributions. Quantization is a technique used to approximate a complex distribution with a smaller set of representative points, which is…

概率论 · 数学 2025-07-16 Russel Cabasag , Samir Huq , Eric Mendoza , Mrinal Kanti Roychowdhury

We introduce a general expression which enables the parton distribution, unintegrated over the parton transverse momentum, to be obtained from the conventional parton densities. We use the formalism to study the effects of the transverse…

高能物理 - 唯象学 · 物理学 2014-11-17 M. A. Kimber , A. D. Martin , M. G. Ryskin

We study the consistency of parton distribution functions in the presence of target mass corrections (TMCs) at low Q^2. We review the standard operator product expansion derivation of TMCs in both x and moment space, and present the results…

高能物理 - 唯象学 · 物理学 2015-06-11 F. M. Steffens , M. D. Brown , W. Melnitchouk , S. Sanches

We present the unpolarized and helicity parton distribution functions calculated within lattice QCD simulations using physical values of the light quark mass. Non-perturbative renormalization is employed and the lattice data are converted…

In the large momentum transfer limit, generalized parton distributions can be calculated through a QCD factorization theorem which involves perturbatively-calculable hard kernels and light-cone parton distribution amplitudes of hadrons. We…

高能物理 - 唯象学 · 物理学 2009-11-10 Pervez Hoodbhoy , Xiangdong Ji , Feng Yuan

We derive one-loop matching condition for non-singlet quark distributions in transverse-momentum cut-off scheme, including unpolarized, helicity and transversity distributions. The matching is between the quasi-distribution defined by…

高能物理 - 唯象学 · 物理学 2014-08-13 Xiaonu Xiong , Xiangdong Ji , Jian-Hui Zhang , Yong Zhao

A completely new strategy to calculate parton distribution functions on the lattice has recently been proposed. In this method, lattice calculable observables, called quasi distributions, are related to normal distributions. The quasi…

高能物理 - 格点 · 物理学 2016-09-08 Tomomi Ishikawa , Yan-Qing Ma , Jian-Wei Qiu , Shinsuke Yoshida

The technique of truncated moments of parton distributions allows us to study scaling violations without making any assumption on the shape of parton distributions. The numerical implementation of the method is however difficult, since the…

高能物理 - 唯象学 · 物理学 2014-11-17 Andrea Piccione

Optimum nuclear parton distributions are determined by an analysis of muon and electron deep inelastic scattering data. Assuming simple A dependence and polynomial functions of x and 1-x for nuclear modification of parton distributions, we…

高能物理 - 唯象学 · 物理学 2015-06-25 M. Hirai , S. Kumano , M. Miyama

Large momentum effective theory allows extraction of hadron parton distribution functions in lattice QCD by matching them to quark bilinear matrix elements of hadrons with large momenta. We calculate the matching kernels for the…

高能物理 - 格点 · 物理学 2022-08-17 Chien-Yu Chou , Jiunn-Wei Chen

We present lattice results for the isovector unpolarized parton distribution with nonperturbative RI/MOM-scheme renormalization on the lattice. In the framework of large-momentum effective field theory (LaMET), the full Bjorken-$x$…

高能物理 - 格点 · 物理学 2018-01-24 Jiunn-Wei Chen , Tomomi Ishikawa , Luchang Jin , Huey-Wen Lin , Yi-Bo Yang , Jian-Hui Zhang , Yong Zhao