Minkowski Space Dynamics and Light-Front Projection
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.
Keywords
Cite
@article{arxiv.2601.11760,
title = {Minkowski Space Dynamics and Light-Front Projection},
author = {Wayne de Paula and Tobias Frederico},
journal= {arXiv preprint arXiv:2601.11760},
year = {2026}
}