Stability of the Solutions of Instantaneous Bethe-Salpeter Equations with Confining Interactions
Wolfgang Lucha, F. Schoberl
TL;DR
This paper rigorously proves the stability of solutions for simplified bound-state equations derived from the Bethe-Salpeter equation with confining interactions, ensuring their physical reliability.
Contribution
It provides a rigorous proof of the stability of solutions for simplified Bethe-Salpeter bound-state equations with confining interactions, a key step in understanding hadronic bound states.
Findings
All solutions of the simplified equations are stable.
The stability proof applies to confining interactions.
The results support the physical validity of these equations.
Abstract
For two bound-state equations derived as simplified forms of the Bethe-Salpeter equation with confining interaction, stability of all solutions is rigorously shown.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Molecular spectroscopy and chirality · Advanced Algebra and Geometry