Exact Solutions of Bethe-Salpeter Equations with Instantaneous Interactions
arXiv:1211.4716 · doi:10.1103/PhysRevD.87.016009
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.
16 pages, 3 figures; v2: slightly augmented summary, matches version in PRD
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- Instantaneous Bethe-Salpeter View of Goldstone-Type Pseudoscalar Mesons
- Janus-Facedness of the Pion: Analytic Instantaneous Bethe-Salpeter Models
- Mass spectra of heavy pseudoscalars using instantaneous Bethe-Salpeter equation with different kernels
- Contemporary continuum QCD approaches to excited hadrons
- Relative variables of the exact fermion-antifermion bound state wave-function in the Schwinger Model
- Goldstonic pseudoscalar mesons in Bethe-Salpeter-inspired setting
- Goldstone-Type Pseudoscalar Mesons: Instantaneous Bethe-Salpeter Models
- Relative energy dependence of the Bethe-Salpeter amplitude in two-dimensional massless QED
- Simplified Bethe-Salpeter Description of Basic Pseudoscalar-Meson Features