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 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.

References in corpus (2)

• Energy in Yang-Mills on a Riemann Surface
• Discrete and continuous Yang-Mills measure for non-trivial bundles over compact surfaces

Cited by in corpus (4)

• Langevin dynamic for the 2D Yang-Mills measure
• Yang-Mills measure on the two-dimensional torus as a random distribution
• Gauge Theory in Two Dimensions: Topological, Geometric and Probabilistic Aspects
• Non-local 2D Generalized Yang-Mills theories on arbitrary surfaces with boundary