The Generalized Gell-Mann--Low Theorem for Relativistic Bound States
| Autor: | Axel Weber, Norbert E. Ligterink |
|---|---|
| Rok vydání: | 2001 |
| Předmět: |
Physics
High Energy Physics - Theory Nuclear and High Energy Physics Bethe–Salpeter equation Scalar field theory Spectrum (functional analysis) Order (ring theory) FOS: Physical sciences Renormalization group High Energy Physics - Phenomenology High Energy Physics - Phenomenology (hep-ph) High Energy Physics - Theory (hep-th) Quantum mechanics No-go theorem Bound state Quantum Mathematical physics |
| DOI: | 10.48550/arxiv.hep-ph/0101149 |
| Popis: | 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. Comment: 24 pages, 6 pspicture diagrams, 4 postscript figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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