Minkowski Space Dynamics and Light-Front Projection

Fuente: arXiv
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Autori principali: de Paula, Wayne, Frederico, Tobias
Natura: Preprint
Pubblicazione: 2026
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author de Paula, Wayne
Frederico, Tobias
author_facet de Paula, Wayne
Frederico, Tobias
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2601_11760
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Minkowski Space Dynamics and Light-Front Projection
de Paula, Wayne
Frederico, Tobias
High Energy Physics - Phenomenology
High Energy Physics - Theory
Nuclear Theory
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.
title Minkowski Space Dynamics and Light-Front Projection
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
Nuclear Theory
url https://arxiv.org/abs/2601.11760