dorsal/arxiv
View SchemaThe O(N) Model at Finite Temperature: Renormalization of the Gap Equations in Hartree and Large-N Approximation
| Authors | J. T. Lenaghan, D. H. Rischke |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9901049 |
| URL | https://arxiv.org/abs/nucl-th/9901049 |
| DOI | 10.1088/0954-3899/26/4/309 |
| Journal | J.Phys.G26:431-450,2000 |
Abstract
The temperature dependence of the sigma meson and pion masses is studied in the framework of the O(N) model. The Cornwall-Jackiw-Tomboulis formalism is applied to derive gap equations for the masses in the Hartree and large-N approximations. Renormalization of the gap equations is carried out within the cut-off and counter-term renormalization schemes. A consistent renormalization of the gap equations within the cut-off scheme is found to be possible only in the large-N approximation and for a finite value of the cut-off. On the other hand, the counter-term scheme allows for a consistent renormalization of both the large-N and Hartree approximations. In these approximations, the meson masses at a given nonzero temperature depend in general on the choice of the cut-off or renormalization scale. As an application, we also discuss the in-medium on-shell decay widths for sigma mesons and pions at rest.
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"abstract": "The temperature dependence of the sigma meson and pion masses is studied in\nthe framework of the O(N) model. The Cornwall-Jackiw-Tomboulis formalism is\napplied to derive gap equations for the masses in the Hartree and large-N\napproximations. Renormalization of the gap equations is carried out within the\ncut-off and counter-term renormalization schemes. A consistent renormalization\nof the gap equations within the cut-off scheme is found to be possible only in\nthe large-N approximation and for a finite value of the cut-off. On the other\nhand, the counter-term scheme allows for a consistent renormalization of both\nthe large-N and Hartree approximations. In these approximations, the meson\nmasses at a given nonzero temperature depend in general on the choice of the\ncut-off or renormalization scale. As an application, we also discuss the\nin-medium on-shell decay widths for sigma mesons and pions at rest.",
"arxiv_id": "nucl-th/9901049",
"authors": [
"J. T. Lenaghan",
"D. H. Rischke"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1088/0954-3899/26/4/309",
"journal_ref": "J.Phys.G26:431-450,2000",
"title": "The O(N) Model at Finite Temperature: Renormalization of the Gap Equations in Hartree and Large-N Approximation",
"url": "https://arxiv.org/abs/nucl-th/9901049"
},
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