Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-10-26
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, standard Latex run twice (3 figures that run under stadard Latex)
Scientific paper
We study the partition function of N=1 supersymmetric De Rham quantum mechanics on a Riemannian manifold, with a nontrivial chemical potential $\mu$ for the fermions. General arguments suggest that when $\mu \to \infty$ we should get the partition function of a free point particle. We investigate this limit by exact evaluation of the fermionic path integral. In even dimensions we find the De Witt term with a definite numerical factor. However, in odd dimensions our result is pestered by a quantum mechanical anomaly and the numerical factor in the De Witt term remains ambiquous.
Kärki Topi
Niemi Antti J.
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