Quasiclassical Expansion for Tr { (1)^{F} e^{  β}^{H}}
Abstract
We start with some methodic remarks referring to purely bosonic quantum systems and then explain how corrections to the leadingorder quasiclassical result for the fermiongraded partition function Tr { (1)^{F} e^{  β}^{H}} can be calculated at small β. We perform such a calculation for certain supersymmetric quantum mechanical systems where such corrections are expected to appear. We consider in particular supersymmetric YangMills theory reduced to (0 + 1) dimensions and were surprised to find that the correction β^{2} vanishes in this case. We discuss also a nonstandard N=2 supersymmetric σmodel defined on S^{3} and show that the quasiclassical expansion breaks down for this system.
 Publication:

Communications in Mathematical Physics
 Pub Date:
 2002
 DOI:
 10.1007/s0022000206738
 arXiv:
 arXiv:hepth/0110105
 Bibcode:
 2002CMaPh.230..245S
 Keywords:

 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 33 pages LaTeX