Partial and complete observables for Hamiltonian constrained systems
type: Item
instance of: scholarly article
title: Partial and complete observables for Hamiltonian constrained systems
zbMATH Open document ID: 1145.83015
author: Bianca Dittrich
published in: General Relativity and Gravitation
publication date: 2007-11-28T00:00:00Z
full work available at URL: https://arxiv.org/abs/gr-qc/0411013
review text: The author is picking up the concepts of partial and complete observables introduced by \textit{C. Rovelli} [in A. Ashtekar (ed.) et al., ``Conceptional problems in quantum gravity'', Cambridge: Cambridge University Press, 126--140 (1991; Zbl 0837.53060)] in order to construct Dirac observables in gauge systems. One generalizes 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 one shows that partial and complete observables can define a non-trivial gauge action on the space of complete observables and also states the Poisson brackets of these functions. Additionally one investigates, 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.
Mathematics Subject Classification ID: 83C45
Mathematics Subject Classification ID: 83C05
zbMATH DE Number: 5215476
zbMATH Keywords: systems with constraints
zbMATH Keywords: complete observables
zbMATH Keywords: partial observables
zbMATH Keywords: partial differential equations
zbMATH Keywords: constraint algebra
zbMATH Keywords: abelization
zbMATH Keywords: bubble-time formalism
zbMATH Keywords: field theories
reviewed by: Alex B. Gaina
MaRDI profile type: Publication
OpenAlex ID: W2098215080
Wikidata QID: Q56139205
arXiv ID: gr-qc/0411013
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DOI: 10.1007/S10714-007-0495-2
description: scientific article