On the Support of Physical Measures in Gauge Theories

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dc.creatorFleischhack, Christian
dc.date2001-09-26
dc.date.accessioned2026-07-07T04:28:40Z
dc.date.available2026-07-07T04:28:40Z
dc.descriptionIt is proven that the physical measure for the two-dimensional Yang-Mills theory is purely singular with respect to the kinematical Ashtekar-Lewandowski measure. For this, an explicit decomposition of the gauge orbit space into supports of these two measures is given. Finally, the results are extended to more general (e.g. confining) theories. Such a singularity implies, in particular, that the standard method of determining the physical measure via ``exponential of minus the action times kinematical measure'' is not applicable.
dc.description42 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math-ph/0109030
dc.identifierhttp://arxiv.org/abs/math-ph/0109030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56872
dc.subjectMathematical Physics
dc.subject81T13; 81T27, 28C20, 58D20, 43A50
dc.titleOn the Support of Physical Measures in Gauge Theories
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