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| HAL : in2p3-00025942, version 1 |
| arXiv : hep-th/0110105 |
| DOI : 10.1007/s00220-002-0673-8 |
| Fiche détaillée |  Récupérer au format |
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| Communications in Mathematical Physics 230 (2002) 245-269 |
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| Quasiclassical expansion for $Tr{(-1)^F ^{-\beta H}}$ |
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| A.V. Smilga1 |
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| (2002) |
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| We start with some methodic remarks referring to purely bosonic quantum systems and then explain how corrections to the leading--order quasiclassical result for the fermion--graded partition function Tr{(-1)^F exp(-\beta H)} can be calculated at small \beta. We perform such calculation for certain supersymmetric quantum mechanical systems where such corrections are expected to appear. We consider in particular supersymmetric Yang-Mills theory reduced to (0+1) dimensions and were surprised to find that the correction of order \beta^2 vanishes in this case. We discuss also a nonstandard N =2 supersymmetric sigma model defined on S^3 and other 3--dimensional conformally flat manifolds and show that the quasiclassical expansion breaks down for this system. |
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| 1 : | SUBATECH - Laboratoire SUBATECH Nantes |
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| Thème(s) | : | Mathématiques/Physique mathématique Physique/Physique mathématique Physique/Physique des Hautes Energies - Théorie |
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| Lien vers le texte intégral : |
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| http://fr.arXiv.org/abs/hep-th/0110105 |
| in2p3-00025942, version 1 | |
| http://hal.in2p3.fr/in2p3-00025942 | |
| oai:hal.in2p3.fr:in2p3-00025942 | |
| Contributeur : Dominique Girod | |
| Soumis le : Mercredi 12 Avril 2006, 15:30:24 | |
| Dernière modification le : Mercredi 12 Avril 2006, 15:39:03 | |
