Quasiclassical expansion for Tr{(-1)^F exp(-βH)}

dc.creator	Smilga, A. V.
dc.date	2001-10-11
dc.date	2002-02-07
dc.date.accessioned	2026-07-07T12:03:37Z
dc.date.available	2026-07-07T12:03:37Z
dc.description	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(-βH)} can be calculated at small β. 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 β^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.
dc.description	33 pages LaTeX; final version to be published in Comm. Math. Phys
dc.identifier	https://arxiv.org/abs/hep-th/0110105
dc.identifier	http://arxiv.org/abs/hep-th/0110105
dc.identifier	Commun.Math.Phys.230:245-269,2002
dc.identifier	doi:10.1007/s00220-002-0673-8
dc.identifier.uri	http://salesiana.dossiersoluciones.com/handle/123456789/207850
dc.subject	High Energy Physics - Theory
dc.subject	Mathematical Physics
dc.title	Quasiclassical expansion for Tr{(-1)^F exp(-βH)}
dc.type	text

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