On the Ashtekar-Lewandowski measure as a restriction of the product one

dc.contributor.author	Tlas, Tamer
dc.contributor.department	Department of Mathematics
dc.contributor.faculty	Faculty of Arts and Sciences (FAS)
dc.contributor.institution	American University of Beirut
dc.date.accessioned	2025-01-24T11:24:33Z
dc.date.available	2025-01-24T11:24:33Z
dc.date.issued	2014
dc.description.abstract	It is known that the k-dimensional Hausdorff measure on a k-dimensional submanifold of Rn is closely related to the Lebesgue measure on Rn. We show that the Ashtekar-Lewandowski measure on the space of generalized G-connections for a compact, connected, semi-simple Lie group G is analogously related to the product measure on the set of all G-valued functions on the group of loops. We also show that, under very mild conditions, the Ashtekar-Lewandowski measure is supported on nowhere-continuous generalized connections. © 2014 AIP Publishing LLC.
dc.identifier.doi	https://doi.org/10.1063/1.4902931
dc.identifier.eid	2-s2.0-84918517152
dc.identifier.uri	http://hdl.handle.net/10938/26015
dc.language.iso	en
dc.publisher	American Institute of Physics Inc.
dc.relation.ispartof	Journal of Mathematical Physics
dc.source	Scopus
dc.subject	Statistical and nonlinear physics
dc.subject	Mathematical physics
dc.title	On the Ashtekar-Lewandowski measure as a restriction of the product one
dc.type	Article

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