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  Partial and Complete Observables for Hamiltonian Constrained Systems

Dittrich, B. (2007). Partial and Complete Observables for Hamiltonian Constrained Systems. General Relativity and Gravitation, 39(11), 1891-1927. doi:10.1007/s10714-007-0495-2.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4783-F Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4784-D
Genre: Journal Article

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grg39_1891.pdf (Publisher version), 384KB
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 Creators:
Dittrich, Bianca1, Author              
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: We will pick up the concepts of partial and complete observables introduced by Rovelli in Conceptional Problems in Quantum Gravity, Birkhäuser, Boston (1991); Class Quant Grav, 8:1895 (1991); Phys Rev, D65:124013 (2002); Quantum Gravity, Cambridge University Press, Cambridge (2007) in order to construct Dirac observables in gauge systems. We will generalize these ideas to an arbitrary number of gauge degrees of freedom. Different methods to calculate such Dirac observables are developed. For background independent field theories we will show that partial and complete observables can be related to Kuchař’s Bubble-Time Formalism (J Math Phys, 13:768, 1972). Moreover one can define a non-trivial gauge action on the space of complete observables and also state the Poisson brackets of these functions. Additionally we will investigate, whether it is possible to calculate Dirac observables starting with partially invariant partial observables, for instance functions, which are invariant under the spatial diffeomorphism group.

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Language(s): eng - English
 Dates: 2007-11
 Publication Status: Published in print
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 Identifiers: eDoc: 205030
DOI: 10.1007/s10714-007-0495-2
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Title: General Relativity and Gravitation
Source Genre: Journal
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Pages: - Volume / Issue: 39 (11) Sequence Number: - Start / End Page: 1891 - 1927 Identifier: -