Berezin Integrals and Poisson Processes
统计力学
2008-02-03 v1 高能物理 - 格点
高能物理 - 理论
量子物理
摘要
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.
引用
@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}
}
备注
26 pages, amsTeX