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Light-cone representation of the spin and orbital angular momentum of relativistic composite systems (Q1597278)

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scientific article; zbMATH DE number 1739161
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English
Light-cone representation of the spin and orbital angular momentum of relativistic composite systems
scientific article; zbMATH DE number 1739161

    Statements

    Light-cone representation of the spin and orbital angular momentum of relativistic composite systems (English)
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    12 May 2002
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    The matrix elements of local operators such as the electromagnetic current, the energy momentum tensor, angular momentum, and the moments of structure functions have exact representations in terms of light-cone Fock state wavefunctions of bound states such as hadrons. We present explicit light-cone wavefunctions for the two-particle Fock state of the electron in QED, thus connecting the Schwinger anomalous magnetic moment to the spin and orbital momentum carried by its Fock state constituents. Although the underlying model is derived from elementary QED perturbative couplings, it in fact can be used to simulate much more general bound state systems by applying spectral integration over the constituent masses while preserving all of the Lorentz properties, giving explicit realization of the spin sum rules and other local matrix elements. The role of orbital angular momentum in understanding the ``spin crisis'' problem for relativistic systems is clarified. We show how the QED perturbative structure can be used to model bound state systems while preserving all Lorentz properties. We thus obtain a theoretical laboratory to test the consistency of formulae which have been proposed to probe the spin structure of hadrons.
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    two-particle Fock-state wave functions
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    perturbative QED
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    Lorentz property preservation
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