dorsal/arxiv
View SchemaSelf-consistent solution of the Schwinger-Dyson equations for the nucleon and meson propagators
| Authors | M. E. Bracco, A. Eiras, G. Krein, L. Wilets |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9307009 |
| URL | https://arxiv.org/abs/nucl-th/9307009 |
| DOI | 10.1103/PhysRevC.49.1299 |
| Journal | Phys.Rev.C49:1299-1308,1994 |
Abstract
The Schwinger-Dyson equations for the nucleon and meson propagators are solved self-consistently in an approximation that goes beyond the Hartree-Fock approximation. The traditional approach consists in solving the nucleon Schwinger-Dyson equation with bare meson propagators and bare meson-nucleon vertices; the corrections to the meson propagators are calculated using the bare nucleon propagator and bare nucleon-meson vertices. It is known that such an approximation scheme produces the appearance of ghost poles in the propagators. In this paper the coupled system of Schwinger-Dyson equations for the nucleon and the meson propagators are solved self-consistently including vertex corrections. The interplay of self-consistency and vertex corrections on the ghosts problem is investigated. It is found that the self-consistency does not affect significantly the spectral properties of the propagators. In particular, it does not affect the appearance of the ghost poles in the propagators.
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"abstract": "The Schwinger-Dyson equations for the nucleon and meson propagators are\nsolved self-consistently in an approximation that goes beyond the Hartree-Fock\napproximation. The traditional approach consists in solving the nucleon\nSchwinger-Dyson equation with bare meson propagators and bare meson-nucleon\nvertices; the corrections to the meson propagators are calculated using the\nbare nucleon propagator and bare nucleon-meson vertices. It is known that such\nan approximation scheme produces the appearance of ghost poles in the\npropagators. In this paper the coupled system of Schwinger-Dyson equations for\nthe nucleon and the meson propagators are solved self-consistently including\nvertex corrections. The interplay of self-consistency and vertex corrections on\nthe ghosts problem is investigated. It is found that the self-consistency does\nnot affect significantly the spectral properties of the propagators. In\nparticular, it does not affect the appearance of the ghost poles in the\npropagators.",
"arxiv_id": "nucl-th/9307009",
"authors": [
"M. E. Bracco",
"A. Eiras",
"G. Krein",
"L. Wilets"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.49.1299",
"journal_ref": "Phys.Rev.C49:1299-1308,1994",
"title": "Self-consistent solution of the Schwinger-Dyson equations for the nucleon and meson propagators",
"url": "https://arxiv.org/abs/nucl-th/9307009"
},
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