dorsal/arxiv
View SchemaNambu-Jona-Lasinio Model at the Next-to-Leading Order in 1/N
| Authors | Keiichi Akama |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9709001 |
| URL | https://arxiv.org/abs/nucl-th/9709001 |
| DOI | 10.1016/S0375-9474(97)00663-5 |
| Journal | Nucl.Phys. A629 (1998) 37c-43c |
Abstract
We derived and solved the compositeness condition in the Nambu-Jona-Lasinio model at the next-to-leading order in 1/N, and obtained the expressions for the effective coupling constants in terms of the compositeness scale. In the NJL model with a scalar composite, the next to leading contributions are too large for N=3. In the induced gauge theory with abelian gauge symmetry, the correction term is reasonably suppressed, while, in the SU(N_c) gauge theory with N_f flavors of fermions, the correction is suppressed only for N_f>11N_c/2, complementarily to asymptotic freedom.
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"abstract": "We derived and solved the compositeness condition in the Nambu-Jona-Lasinio\nmodel at the next-to-leading order in 1/N, and obtained the expressions for the\neffective coupling constants in terms of the compositeness scale. In the NJL\nmodel with a scalar composite, the next to leading contributions are too large\nfor N=3. In the induced gauge theory with abelian gauge symmetry, the\ncorrection term is reasonably suppressed, while, in the SU(N_c) gauge theory\nwith N_f flavors of fermions, the correction is suppressed only for\nN_f\u003e11N_c/2, complementarily to asymptotic freedom.",
"arxiv_id": "nucl-th/9709001",
"authors": [
"Keiichi Akama"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0375-9474(97)00663-5",
"journal_ref": "Nucl.Phys. A629 (1998) 37c-43c",
"title": "Nambu-Jona-Lasinio Model at the Next-to-Leading Order in 1/N",
"url": "https://arxiv.org/abs/nucl-th/9709001"
},
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