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          Document History for Document ID 404383

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Document Version Version Comment Date Status
404383.0 [No comment] 30.03.2009 09:40 Released

ID: 404383.0, MPI für Gravitationsphysik / Quantum Gravity and Unified Theories
Gauge-invariant coherent states for loop quantum gravity: I. Abelian gauge groups
Authors:Bahr, Benjamin; Thiemann, Thomas
Date of Publication (YYYY-MM-DD):2009-02-03
Title of Journal:Classical and Quantum Gravity
Volume:26
Issue / Number:4
Sequence Number of Article:045011
Review Status:not specified
Audience:Not Specified
Abstract / Description:In this paper, we investigate the properties of gauge-invariant coherent states for loop quantum gravity, for the gauge group U(1). This is done by projecting the corresponding complexifier coherent states defined by Thiemann and Winkler to the gauge-invariant Hilbert space. This being the first step toward constructing physical coherent states, we arrive at a set of gauge-invariant states that approximate well the gauge-invariant degrees of freedom of Abelian loop quantum gravity (LQG). Furthermore, these states turn out to encode explicit information about the graph topology, and show the same pleasant peakedness properties known from the gauge-variant complexifier coherent states. In a companion paper, we will turn to the more sophisticated case of SU(2).
External Publication Status:published
Document Type:Article
Communicated by:Hermann Nicolai
Affiliations:MPI für Gravitationsphysik/Quantum Gravity and Unified Theories
Identifiers:ISSN:0264-9381
DOI:10.1088/0264-9381/26/4/045011
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