Berezin Integrals and Poisson Processes
G. F. De Angelis, G. Jona-Lasinio, V. Sidoravicius
Abstract
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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