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arXiv · 2601.11760

Minkowski Space Dynamics and Light-Front Projection

Wayne de Paula·Tobias Frederico
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Abstract

We explore the connection between the four-dimensional Minkowski-space Bethe-Salpeter equation and its light-front projection, emphasizing the implications for bound-state dynamics. Our approach incorporates dressed particles, such as quarks, via the integral representation of the corresponding propagator. We analyze the light-front dynamics of the valence component of the physical state using a hierarchical set of Green's functions, which reveals its coupling to higher Fock components when dressed particles are considered. We also present the light-front Faddeev-Bethe-Salpeter equations for three-body systems with dressed constituents. Furthermore, we discuss formal developments that are central to connecting the three-dimensional light-front dynamics onto the null-plane and the four-dimensional Minkowski-space framework, based on the Nakanishi integral representation. Selected applications to hadron structure are also reviewed.

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Wayne de Paula, Tobias Frederico. 2026-01-16. Minkowski Space Dynamics and Light-Front Projection. https://arxiv.org/abs/2601.11760

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