Berezin Integrals and Poisson Processes

Details Berezin Integrals and Poisson Processes Berezin Integrals and Poisson Processes

1997-09-04

arxiv.org/abs/cond-mat/9709053v1

Physics

Condensed Matter

Statistical Mechanics

26 pages, amsTeX

Scientific paper

We show that the calculation of Berezin integrals over anticommuting variables can be reduced to the evaluation of expectations of functionals of Poisson processes via an appropriate Feynman-Kac formula. In this way the tools of ordinary analysis can be applied to Berezin integrals and, as an example, we prove a simple upper bound. Possible applications of our results are briefly mentioned.

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