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We use a unitary operator constructed in earlier work to transform the Hamiltonian for QCD in the temporal ($A_0=0$) gauge into a representation in which the quark field is gauge-invariant, and its elementary excitations -- quark and…

High Energy Physics - Theory · Physics 2009-10-30 Mario Belloni , Lusheng Chen , Kurt Haller

The fundamental program in high energy spin physics focuses on the spin structure of the nucleon. The gluon and orbital angular momentum components of the nucleon spin are virtually unknown. The J_z=1/2 sum rule involves the integrated…

High Energy Physics - Phenomenology · Physics 2017-08-23 Gordon P. Ramsey

We calculate the form factor of the quark energy momentum tensor and thereby extract the quark orbital angular momentum of the nucleon. The calculation is done on a quenched $16^3 \times 24$ lattice at $\beta = 6.0$ and with Wilson fermions…

High Energy Physics - Lattice · Physics 2015-06-25 Nilmani Mathur , S. J. Dong , K. F. Liu , N. C. Mukhopadhyay

We discuss the implications of a "constituent quark" structure of the nucleon for the leading (1/Q^2-) power corrections to the spin structure functions. Our basic assumption is the presence of quark-gluon correlations in the nucleon wave…

High Energy Physics - Phenomenology · Physics 2017-08-23 A. V. Sidorov , C. Weiss

We introduce the spin-operator representation for the gluon as well as quark distribution functions as nucleon matrix element of the gauge-invariant bilocal light-cone operators in QCD. To identify the relevant spin operators for quarks and…

High Energy Physics - Phenomenology · Physics 2014-08-11 Kazuhiro Tanaka

I present an introduction to the field of Quantum Chromodynamics (QCD) with emphasis on nucleon spin structure and perturbative methods. After a somewhat comprehensive overview of perturbative QCD, including the systematics of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jonathan Osborne

The spin of a composite particle, like a nucleus or a hadron, is generated by the composition of angular moments (consisting of spins and orbital angular moments) of the constituents. The composition of two angular moments is done by the…

High Energy Physics - Phenomenology · Physics 2020-02-06 Petr Zavada

Nonperturbative spin-dependent forces of quarks in a baryon are calculated directly from the QCD Lagrangian in the framework of the Field Correlator Method both for heavy and light quarks. Resulting forces contain terms of 5 different…

High Energy Physics - Phenomenology · Physics 2014-11-17 Yu. A. Simonov

I use the formalism of skewed parton distributions (SPD) to describe elastic form factors of the nucleon. The results are consistent with approximate dipole behavior of $G_{Mp}(Q^2)$ and recent JLab data for the ratio of the proton form…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrei V. Afanasev

In this article we address the physical basis of the deviation of hadron shapes from spherical symmetry (non-spherical amplitudes) with focus on the nucleon and $\Delta$. An overview of both the experimental methods and results and the…

High Energy Physics - Phenomenology · Physics 2009-01-06 A. M. Bernstein , C. N. Papanicolas

This article reviews our present understanding of the QCD spin structure of the proton. We first outline the proton spin puzzle and its possible resolution in QCD. We then review the present and next generation of experiments to resolve the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Steven D. Bass

The partition of nucleon spin between total angular momenta of quarks and gluons is described by the energy momentum tensor formfactors manifested also in the nucleon scattering by weak classical gravitational field. Natural generalization…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. V. Teryaev

We derive the effective angular momentum operator to $1/m^2$ and one-loop order in non-relativistic quantum electrodynamics (NRQED). In both dimensional and three-momentum-cutoff regularization schemes, we obtain the non-relativistic…

High Energy Physics - Phenomenology · Physics 2011-03-18 Panying Chen , Xiangdong Ji , Yue Zhang

Using the MIT bag model, we study the contribution from the gluon vector potential due to the spectators to the orbital angular momentum of a quark in the bag model. For $\alpha_s = {\cal O}(1)$, this spectator contribution to the quark…

High Energy Physics - Phenomenology · Physics 2010-11-05 Matthias Burkardt , Abdullah Jarrah

The total angular momentum is conserved in the evolution of the Quark-Gluon Plasma (QGP) created in heavy-ion collision, and consists of two sectors: the orbital angular momentum (OAM) caused by kinetic motion, and the spin, an intrinsic…

Nuclear Theory · Physics 2021-02-03 Shuzhe Shi , Charles Gale , Sangyong Jeon

A new picture is given of generalized parton distributions probed in experiments in which the probe scale $Q^{2}$ and the momentum transfer $\DD^{2}$ are well separated. Application of this picture to the $Q^{2}$ dependence of the form…

High Energy Physics - Phenomenology · Physics 2015-06-25 John P. Ralston , Roman V. Buniy , Pankaj Jain

We match a few non chiral operators in the electric and magnetic descriptions of SQCD, suggesting the first evidence of electric-magnetic duality outside the chiral ring. Algebraically, these non chiral operators are a module of the chiral…

High Energy Physics - Theory · Physics 2009-10-28 M. Berkooz

The proton spin puzzle has challenged our understanding of QCD for the last 20 years. We survey new developments in theory and experiment. The proton spin puzzle seems to be telling us about the interplay of valence quarks with chiral…

High Energy Physics - Phenomenology · Physics 2017-08-23 Steven D. Bass

We develop a quantum kinetic theory for QCD, which incorporates all leading order collision terms. At lowest order in gradient expansion, it reproduces the spin-averaged Boltzmann equation with both elastic and inelastic collisions. At next…

High Energy Physics - Phenomenology · Physics 2026-03-05 Shu Lin

The recent controversy on the nucleon spin decomposition problem is critically overviewed. We argue that there exist two and only two physically inequivalent gauge-invariant decompositions of the longitudinal nucleon spin, contrary to the…

High Energy Physics - Phenomenology · Physics 2022-03-02 Masashi Wakamatsu