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ID: 330092.0, MPI für Gravitationsphysik / Astrophysical Relativity
On the constraint algebra of quantum gravity in the loop representation
Authors:Brügmann, Bernd
Language:English
Date of Publication (YYYY-MM-DD):1996
Title of Journal:Nuclear Physics B
Journal Abbrev.:Nucl. Phys. B
Volume:474
Issue / Number:1
Start Page:249
End Page:268
Review Status:not specified
Abstract / Description:Although an important issue in canonical quantization, the problem of representing the constraint algebra in the loop representation of quantum gravity has received little attention. The only explicit computation was performed by Gambini, Garat, and Pullin for a formal point-splitting regularization of the diffeomorphism and Hamiltonian constraints. It is shown that the calculation of the algebra simplifies considerably when the constraints are expressed not in terms of generic area derivatives but rather as the specific shift operators that reflect the geometric meaning of the constraints.
External Publication Status:published
Document Type:Article
Communicated by:Bernhard F. Schutz
Affiliations:MPI für Gravitationsphysik/Astrophysical Relativity
Identifiers:ISSN:0550-3213
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