HAL : in2p3-00025942, version 1
 arXiv : hep-th/0110105
 Communications in Mathematical Physics 230 (2002) 245-269
 Quasiclassical expansion for $Tr{(-1)^F ^{-\beta H}}$
 (2002)
 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.
 Thème(s) : Mathématiques/Physique mathématiquePhysique/Physique mathématiquePhysique/Physique des Hautes Energies - Théorie
 Lien vers le texte intégral : 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