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arxiv: 1011.1850 · v1 · pith:RV3AGA7Hnew · submitted 2010-11-08 · ⚛️ nucl-th · hep-ph

Projecting the Bethe-Salpeter Equation onto the Light-Front and back: A Short Review

classification ⚛️ nucl-th hep-ph
keywords light-frontontobethe-salpetereffectiveequationfockhypersurfaceprojecting
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The technique of projecting the four-dimensional two-body Bethe-Salpeter equation onto the three-dimensional Light-Front hypersurface, combined with the quasi-potential approach, is briefly illustrated, by placing a particular emphasis on the relation between the projection method and the effective dynamics of the valence component of the Light-Front wave function. Some details on how to construct the Fock expansion of both i) the Light-Front effective interaction and ii) the electromagnetic current operator, satisfying the proper Ward-Takahashi identity, will be presented, addressing the relevance of the Fock content in the operators living onto the Light-Front hypersurface. Finally, the generalization of the formalism to the three-particle case will be outlined.

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