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      Gauge-Invariant Decomposition of Nucleon Spin and Its Spin-Off

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          Abstract

          I introduce a gauge invariant decomposition of the nucleon spin into quark helicity, quark orbital, and gluon contributions. The total quark (and hence the quark orbital) contribution is shown to be measurable through virtual Compton scattering in a special kinematic region where single quark scattering dominates. This deeply-virtual Compton scattering (DVCS) has much potential to unravel the quark and gluon structure of the nucleon.

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          Asymptotically free gauge theories. II

          David Gross, Frank Wilczek (1974)
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            The Spin Structure of the Nucleon in the Asymptotic Limit

            , , (2010)
            In analogy to the Altarelli-Parisi equation for the quark and gluon helicity contributions to the nucleon spin, we derive an evolution equation for the quark and gluon orbital angular momenta. The solution of the combined equations yields the asymptotic fractions of the nucleon spin carried by quarks and gluons: \(3n_f/(16+3n_f)\) and \(16/(16+3n_f)\), respectively, where \(n_f\) is the number of active quark flavors. These are identical to the well-known asymptotic partitions of the nucleon momentum between quark and gluon contributions. We show that the axial-anomaly contribution to the quark helicity is cancelled by a similar contribution to the quark orbital angular momentum, making the total quark contribution to the nucleon spin anomaly-free.
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              BREAKUP OF HADRON MASSES AND ENERGY-MOMENTUM TENSOR OF QCD

              Xiangdong Ji (1995)
              Hadron masses are shown to be separable in QCD into contributions of quark and gluon kinetic and potential energies, quark masses, and the trace anomaly. The separation is based on a study of the structure of the QCD energy-momentum tensor and its matrix elements in hadron states. The paper contains two parts. In the first part, a detailed discussion of the renormalization properties of the energy-momentum tensor is given. In the second part, a mass separation formula is derived and then applied to the nucleon, pion, and the QCD vacuum. Implications of the results on hadron structure and non-perturbative QCD dynamics are discussed.
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                Author and article information

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                Publication date Created: 07 March 1996
                Article
                DOI: 10.1103/PhysRevLett.78.610
                ArXiV ID: hep-ph/9603249
                SO-VID: 7b98f897-32f6-4bdc-a2c5-38c7ac1640af
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                Journal reference Phys.Rev.Lett. 78 (1997) 610-613
                Categories hep-ph

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