dorsal/arxiv
View SchemaLight-Front Bethe-Salpeter Equation
| Authors | J. H. O. Sales, T. Frederico, B. V. Carlson, P. U. Sauer |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9909029 |
| URL | https://arxiv.org/abs/nucl-th/9909029 |
| DOI | 10.1103/PhysRevC.61.044003 |
| Journal | Phys.Rev. C61 (2000) 044003 |
Abstract
A three-dimensional reduction of the two-particle Bethe-Salpeter equation is proposed. The proposed reduction is in the framework of light-front dynamics. It yields auxiliary quantities for the transition matrix and the bound state. The arising effective interaction can be perturbatively expanded according to the number of particles exchanged at a given light-front time. An example suggests that the convergence of the expansion is rapid. This result is particular for light-front dynamics. The covariant results of the Bethe-Salpeter equation can be recovered from the corresponding auxiliary three-dimensional ones. The technical procedure is developed for a two-boson case; the idea for an extension to fermions is given. The technical procedure appears quite practicable, possibly allowing one to go beyond the ladder approximation for the solution of the Bethe-Salpeter equation. The relation between the three-dimensional light-front reduction of the field-theoretic Bethe-Salpeter equation and a corresponding quantum-mechanical description is discussed.
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"abstract": "A three-dimensional reduction of the two-particle Bethe-Salpeter equation is\nproposed. The proposed reduction is in the framework of light-front dynamics.\nIt yields auxiliary quantities for the transition matrix and the bound state.\nThe arising effective interaction can be perturbatively expanded according to\nthe number of particles exchanged at a given light-front time. An example\nsuggests that the convergence of the expansion is rapid. This result is\nparticular for light-front dynamics. The covariant results of the\nBethe-Salpeter equation can be recovered from the corresponding auxiliary\nthree-dimensional ones. The technical procedure is developed for a two-boson\ncase; the idea for an extension to fermions is given. The technical procedure\nappears quite practicable, possibly allowing one to go beyond the ladder\napproximation for the solution of the Bethe-Salpeter equation. The relation\nbetween the three-dimensional light-front reduction of the field-theoretic\nBethe-Salpeter equation and a corresponding quantum-mechanical description is\ndiscussed.",
"arxiv_id": "nucl-th/9909029",
"authors": [
"J. H. O. Sales",
"T. Frederico",
"B. V. Carlson",
"P. U. Sauer"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.61.044003",
"journal_ref": "Phys.Rev. C61 (2000) 044003",
"title": "Light-Front Bethe-Salpeter Equation",
"url": "https://arxiv.org/abs/nucl-th/9909029"
},
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