Feynman graphs and renormalization in quantum diffusion
Mathematical Physics
2008-07-01 v1 math.MP
Abstract
We review our proof that in a scaling limit, the time evolution of a quantum particle in a static random environment leads to a diffusion equation. In particular, we discuss the role of Feynman graph expansions and of renormalization.
Cite
@article{arxiv.0806.4751,
title = {Feynman graphs and renormalization in quantum diffusion},
author = {Laszlo Erdoes and Manfred Salmhofer and Horng-Tzer Yau},
journal= {arXiv preprint arXiv:0806.4751},
year = {2008}
}
Comments
Contribution to the proceedings of the conference in honour of Wolfhart Zimmermann's 80th birthday, Ringberg Castle, February 3-6, 2008. LaTeX, 16 pages with 6 figures