Non-local boundary conditions in Euclidean quantum gravity
نویسندگان
چکیده
منابع مشابه
Non-local Boundary Conditions in Euclidean Quantum Gravity
Non-local boundary conditions for Euclidean quantum gravity are proposed, consisting of an integro-differential boundary operator acting on metric perturbations. In this case, the operator P on metric perturbations is of Laplace type, subject to non-local boundary conditions; by contrast, its adjoint is the sum of a Laplacian and of a singular Green operator, subject to local boundary condition...
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In the one-loop approximation for Euclidean quantum gravity, the boundary conditions which are completely invariant under gauge transformations of metric perturbations involve both normal and tangential derivatives of the metric perturbations h 00 and h 0i , while the h ij perturbations and the whole ghost one-form are set to zero at the boundary. The corresponding one-loop divergency for pure ...
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In the one-loop approximation for Euclidean quantum gravity, the boundary conditions which are completely invariant under gauge transformations of metric perturbations cannot be written in terms of complementary projection operators. By contrast, they express the h00 and h0i perturbations at the boundary as integrals at the boundary of the action of a set of di erential operators on metric pert...
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A general method is known to exist for studying Abelian and non-Abelian gauge theories, as well as Euclidean quantum gravity, at one-loop level on manifolds with boundary. In the latter case, boundary conditions on metric perturbations h can be chosen to be completely invariant under infinitesimal diffeomorphisms, to preserve the invariance group of the theory and BRST symmetry. In the de Donde...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 1999
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/16/4/002