Berezin Integrals and Poisson Processes

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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.
26 pages, amsTeX

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Statistical Mechanics, High Energy Physics - Lattice, High Energy Physics - Theory, Quantum Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/151915

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/9709053
 http://arxiv.org/abs/cond-mat/9709053

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arXiv