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

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abstract

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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Light-front mass operator with dressed quarks

hep-ph · 2026-04-24 · unverdicted · novelty 5.0

An effective dressed light-front mass operator for quarks is constructed from a lattice-inspired propagator and applied to compute pion TMDs, PDFs, and distribution amplitudes.

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