dorsal/arxiv
View SchemaOne loop corrections to quantum hadrodynamics with vector mesons
| Authors | Gary Prézeau |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9810076 |
| URL | https://arxiv.org/abs/nucl-th/9810076 |
| DOI | 10.1103/PhysRevC.58.1853 10.1103/PhysRevC.61.039901 |
| Journal | Phys.Rev.C58:1853-1856,1998; Erratum-ibid.C61:039901,2000 |
Abstract
The renormalized elastic $\pi\pi$ scattering amplitude to one loop is calculated in the chiral limit in the $\sigma$ model and in a Quantum Hadrodynamic model (QHD-III) with vector mesons. It is argued that QHD-III reduces to the linear $\sigma$ model in the limit that the vector meson masses become large. The pion decay constant is also calculated to 1-loop in the $\sigma$ model, and at tree level in QHD-III; it is shown that the coefficient of the tree level term in the scattering amplitude equals $F_\pi^{-2}$. The 1-loop correction of $F_\pi$ in QHD-III violates strong isospin current conservation. Thus,it is concluded that QHD-III can, at best, only describe the strongly interacting nuclear sector.
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"abstract": "The renormalized elastic $\\pi\\pi$ scattering amplitude to one loop is\ncalculated in the chiral limit in the $\\sigma$ model and in a Quantum\nHadrodynamic model (QHD-III) with vector mesons. It is argued that QHD-III\nreduces to the linear $\\sigma$ model in the limit that the vector meson masses\nbecome large. The pion decay constant is also calculated to 1-loop in the\n$\\sigma$ model, and at tree level in QHD-III; it is shown that the coefficient\nof the tree level term in the scattering amplitude equals $F_\\pi^{-2}$. The\n1-loop correction of $F_\\pi$ in QHD-III violates strong isospin current\nconservation. Thus,it is concluded that QHD-III can, at best, only describe the\nstrongly interacting nuclear sector.",
"arxiv_id": "nucl-th/9810076",
"authors": [
"Gary Pr\u00e9zeau"
],
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"nucl-th"
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"doi": "10.1103/PhysRevC.58.1853 10.1103/PhysRevC.61.039901",
"journal_ref": "Phys.Rev.C58:1853-1856,1998; Erratum-ibid.C61:039901,2000",
"title": "One loop corrections to quantum hadrodynamics with vector mesons",
"url": "https://arxiv.org/abs/nucl-th/9810076"
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