Large deviations for the Yang-Mills measure on a compact surface
数学物理
2016-08-16 v3 微分几何
math.MP
概率论
摘要
We prove the first mathematical result relating the Yang-Mills measure on a compact surface and the Yang-Mills energy. We show that, at the small volume limit, the Yang-Mills measures satisfy a large deviation principle with a rate function which is expressed in a simple and natural way in terms of the Yang-Mills energy.
引用
@article{arxiv.math-ph/0406027,
title = {Large deviations for the Yang-Mills measure on a compact surface},
author = {Thierry Lévy and James R. Norris},
journal= {arXiv preprint arXiv:math-ph/0406027},
year = {2016}
}