Quasiclassical expansion for $Tr{(-1)^F ^{-\beta H}}$ - IN2P3 - Institut national de physique nucléaire et de physique des particules
Article Dans Une Revue Communications in Mathematical Physics Année : 2002

Quasiclassical expansion for $Tr{(-1)^F ^{-\beta H}}$

A.V. Smilga
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Résumé

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.

Dates et versions

in2p3-00025942 , version 1 (12-04-2006)

Identifiants

Citer

A.V. Smilga. Quasiclassical expansion for $Tr{(-1)^F ^{-\beta H}}$. Communications in Mathematical Physics, 2002, 230, pp.245-269. ⟨10.1007/s00220-002-0673-8⟩. ⟨in2p3-00025942⟩
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