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arXiv · 1010.0866

Analytic Quest for Confining Interaction Kernels in Instantaneous Bethe-Salpeter Equations

Wolfgang Lucha
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Abstract

The Salpeter equation, a standard tool in hadron physics, constitutes a well-defined three-dimensional approximation to the Bethe-Salpeter formalism for the description of bound states within quantum field theories. However, if confinement is implemented in a too careless manner, the Salpeter equation might predict unstable states where only truly bound states are expected. A systematic spectral analysis of the Salpeter equation might serve to single out those Bethe-Salpeter interaction kernels which indeed yield stable bound states, with associated energy eigenvalues belonging to a real discrete spectrum bounded from below.

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Wolfgang Lucha. 2010-10-05. Analytic Quest for Confining Interaction Kernels in Instantaneous Bethe-Salpeter Equations. https://doi.org/10.1063/1.3575121

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