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

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

2001-10-11

arxiv.org/abs/hep-th/0110105v2

Commun.Math.Phys.230:245-269,2002

Physics

High Energy Physics

High Energy Physics - Theory

33 pages LaTeX; final version to be published in Comm. Math. Phys

Scientific paper

10.1007/s00220-002-0673-8

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.

Affiliated with

Also associated with

No associations

Rating

Quasiclassical expansion for Tr{(-1)^F exp(-βH)} does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quasiclassical expansion for Tr{(-1)^F exp(-βH)}, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quasiclassical expansion for Tr{(-1)^F exp(-βH)} will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-716546