The zero-area limit of the SU(N) Yang-Mills measure on compact surfaces is realized at the level of random distributional connections and identified with the Atiyah-Bott-Goldman measure.
”The quest for the ultimate anisotropic Banach space.” Journal of Statistical Physics 166.3 (2017): 525-557
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Semiclassical analysis for Yang--Mills random connections on compact surfaces
The zero-area limit of the SU(N) Yang-Mills measure on compact surfaces is realized at the level of random distributional connections and identified with the Atiyah-Bott-Goldman measure.