Diffeomorphism invariant measure for finite-dimensional geometries
نویسندگان
چکیده
منابع مشابه
Finite diffeomorphism-invariant observables in quantum gravity.
Two sets of spatially diffeomorphism invariant operators are constructed in the loop representation formulation of quantum gravity. This is done by coupling general relativity to an antisymmetric tensor gauge field and using that field to pick out sets of surfaces, with boundaries, in the spatial three manifold. The two sets of observables then measure the areas of these surfaces and the Wilson...
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Local action principles on a manifold M are invariant (if at all) only under diffeomorphisms that preserve the boundary of M. Suppose, however, that we wish to study only part of a system described by such a principle; namely, the part that lies in a bounded region R of spacetime where R is specified in some diffeomorphism invariant manner. In this case, a description of the physics within R sh...
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This contribution presents a comprehensive analysis of Colombeau (-type) algebras in the range between the diffeomorphism invariant algebra G = E M / N d introduced in Part I (see [Gro01]) and Colombeau’s original algebra G introduced in [Col85]. Along the way, it provides several classification results (again see [Gro01]) which are indispensable for obtaining an intrinsic description of a (ful...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 1997
ISSN: 0550-3213
DOI: 10.1016/s0550-3213(97)00017-5