dorsal/arxiv
View SchemaNambu-Jona-Lasinio Models Beyond the Mean Field Approximation
| Authors | P. Domitrovich, D. Bückers, H. Müther |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9304001 |
| URL | https://arxiv.org/abs/nucl-th/9304001 |
| DOI | 10.1103/PhysRevC.48.413 |
| Journal | Phys.Rev.C48:413-422,1993 |
Abstract
Inspired by the model of Nambu and Jona-Lasinio, various Lagrangians are considered for a system of interacting quarks. Employing standard techniques of many-body theory, the scalar part of the quark self-energy is calculated including terms up to second-order in the interaction. Results obtained for the single-particle Green's function are compared with those which only account for the mean-field or Hartree-Fock term in the self-energy. Depending on the explicit form of the Lagrangian, the second-order contributions range between 4 and 90 percent of the leading Hartree-Fock term. This leads to a considerable momentum dependence of the self-energy and the effective mass of the quarks.
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"abstract": "Inspired by the model of Nambu and Jona-Lasinio, various Lagrangians are\nconsidered for a system of interacting quarks. Employing standard techniques of\nmany-body theory, the scalar part of the quark self-energy is calculated\nincluding terms up to second-order in the interaction. Results obtained for the\nsingle-particle Green\u0027s function are compared with those which only account for\nthe mean-field or Hartree-Fock term in the self-energy. Depending on the\nexplicit form of the Lagrangian, the second-order contributions range between 4\nand 90 percent of the leading Hartree-Fock term. This leads to a considerable\nmomentum dependence of the self-energy and the effective mass of the quarks.",
"arxiv_id": "nucl-th/9304001",
"authors": [
"P. Domitrovich",
"D. B\u00fcckers",
"H. M\u00fcther"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.48.413",
"journal_ref": "Phys.Rev.C48:413-422,1993",
"title": "Nambu-Jona-Lasinio Models Beyond the Mean Field Approximation",
"url": "https://arxiv.org/abs/nucl-th/9304001"
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