Advertisement

Communications in Mathematical Physics

, Volume 230, Issue 2, pp 245–269 | Cite as

Quasiclassical Expansion for Tr { (−1) F e − β H }

  • A. V. Smilga

Abstract:

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 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 Yang–Mills theory reduced to (0 + 1) dimensions and were surprised to find that the correction ∝ β2 vanishes in this case. We discuss also a nonstandard N=2 supersymmetric σ-model defined on S3 and show that the quasiclassical expansion breaks down for this system.

Keywords

Partition Function Quantum System Mechanical System Mill Theory Quantum Mechanical System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • A. V. Smilga
    • 1
  1. 1.SUBATECH, Université de Nantes, 4 rue Alfred Kastler, BP 20722, 44307 Nantes, FranceFR

Personalised recommendations