10 citations · 20 across the 6 of their papers we have counts for
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Stability in the instantaneous Bethe-Salpeter formalism: reduced exact-propagator bound-state equation with harmonic interaction
Z. -F. Li, Wolfgang Lucha, F. Schoberl
Several numerical investigations of the Salpeter equation with static confining interactions of Lorentz-scalar type revealed that its solutions are plagued by instabilities of pres…
Stability of the Solutions of Instantaneous Bethe-Salpeter Equations with Confining Interactions
Wolfgang Lucha, F. Schoberl
For two bound-state equations derived as simplified forms of the Bethe-Salpeter equation with confining interaction, stability of all solutions is rigorously shown.
Stability of Salpeter Solutions
Wolfgang Lucha, F. Schoberl
In the framework of instantaneous approximations to the Bethe-Salpeter formalism for the description of bound states within quantum field theories, depending on the Lorentz structu…
Generalized Instantaneous Bethe-Salpeter Equation and Exact Quark Propagators
Wolfgang Lucha, F. F. Schoberl
A three-dimensional reduction of the homogeneous Bethe-Salpeter equation retaining, in contrast to the Salpeter equation, the exact propagators (crucial for, e.g., a proper incorpo…
Exact-propagator instantaneous Bethe-Salpeter equation for quark-antiquark bound states
Z. -F. Li, Wolfgang Lucha, F. F. Schoberl
Recently, an instantaneous approximation to the Bethe-Salpeter formalism for the analysis of bound states in quantum field theory has been proposed which retains, in contrast to th…
Spinless Salpeter Equation: Some (Semi-) Analytical Approaches
Wolfgang Lucha, F. F. Schoberl
Several techniques for deriving semianalytical bounds on the energy eigenvalues of the spinless Salpeter equation and for estimating the quality of the corresponding approximate ei…