Large deviations for the Yang-Mills measure on a compact surface

Abstract

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 scaled YangMills 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.

Cite this paper

@inproceedings{Lvy2005LargeDF, title={Large deviations for the Yang-Mills measure on a compact surface}, author={Thierry L{\'e}vy and James R. Norris}, year={2005} }