The Generalized Gell-Mann--Low Theorem for Relativistic Bound States

Details The Generalized Gell-Mann--Low Theorem for Relativistic Bound States The Generalized Gell-Mann--Low Theorem for Relativistic Bound States

2001-01-15

arxiv.org/abs/hep-ph/0101149v2

Phys.Rev. D65 (2002) 025009

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, 6 pspicture diagrams, 4 postscript figures

Scientific paper

10.1103/PhysRevD.65.025009

The recently established generalized Gell-Mann--Low theorem is applied in lowest perturbative order to bound-state calculations in a simple scalar field theory with cubic couplings. The approach via the generalized Gell-Mann--Low Theorem retains, while being fully relativistic, many of the desirable features of the quantum mechanical approaches to bound states. In particular, no abnormal or unphysical solutions are found in the model under consideration. Both the non-relativistic and one-body limits are straightforward and consistent. The results for the spectrum are compared to those of the Bethe-Salpeter equation (in the ladder approximation) and related equations.

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