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

Physics – Mathematical Physics

Scientific paper

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Scientific paper

10.1007/s00220-005-1450-2

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.

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