We prove the existence of the path-integral measure of two-dimensional Yang-Mills theory, as a probabilistic Radon measure on the "generalized orbit space" of gauge connections modulo gauge transformations, suitably completed following the approach of Ashtekar and Lewandowski.
@article{bwmeta1.element.bwnjournal-article-bcpv39z1p225bwm,
author = {Budzy\'nski, Robert},
title = {On the existence of the functional measure for 2D Yang-Mills theory},
journal = {Banach Center Publications},
volume = {38},
year = {1997},
pages = {225-229},
zbl = {0890.28008},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv39z1p225bwm}
}
Budzyński, Robert. On the existence of the functional measure for 2D Yang-Mills theory. Banach Center Publications, Tome 38 (1997) pp. 225-229. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv39z1p225bwm/
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