Berezin Integrals and Poisson Processes
Statistical Mechanics
2008-02-03 v1 High Energy Physics - Lattice
High Energy Physics - Theory
Quantum Physics
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.
Cite
@article{arxiv.cond-mat/9709053,
title = {Berezin Integrals and Poisson Processes},
author = {G. F. De Angelis and G. Jona-Lasinio and V. Sidoravicius},
journal= {arXiv preprint arXiv:cond-mat/9709053},
year = {2008}
}
Comments
26 pages, amsTeX