Condensed Matter Physics, 1998, vol. 1, No. 3, p. 513-520, English
DOI:10.5488/CMP.1.3.513


Title:CONNECTING THE POTENTIAL THEORY TO THE QUANTUM FIELD THEORY
Authors:H.Sazdjian (Groupe de Physique Th\'eorique, Institut de Physique Nucl\'eaire, Universit\'e Paris XI, F-91406 Orsay Cedex, France)

A constraint theory is applied to two-particle systems to construct Poincar\'e invariant wave equations with interaction potentials. The latter can be determined in the quantum field theory from Feynman diagrams. Their properties are analyzed in the case of QED. The constraint theory provides a consistent means for solving the Bethe--Salpeter equation with covariant propagators.

Key words: relativistic wave equations, Bethe?Salpeter equation, bound states, constraint theory
Comments: Figs. 0, Refs. 48, Tabs. 0.


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