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Exact Solutions of Bethe-Salpeter Equations with Instantaneous Interactions

High Energy Physics - Phenomenology 2013-05-30 v2 High Energy Physics - Theory Nuclear Theory

Abstract

The Bethe-Salpeter approach allows for quantum-field-theoretic descriptions of relativistic bound states; its inherent complexity, however, usually prevents to find its exact solutions. Under suitable simplifying assumptions about the systems discussed, we derive analytically some examples of rigorous solutions to the instantaneous homogeneous Bethe-Salpeter equation by relating tentative solutions to the interactions responsible for the formation of bound states.

Keywords

Cite

@article{arxiv.1211.4716,
  title  = {Exact Solutions of Bethe-Salpeter Equations with Instantaneous Interactions},
  author = {Wolfgang Lucha and Franz F. Schoberl},
  journal= {arXiv preprint arXiv:1211.4716},
  year   = {2013}
}

Comments

16 pages, 3 figures; v2: slightly augmented summary, matches version in PRD