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Lessons from Toy-Models for the Dynamics of Loop Quantum Gravity

Vernadsky National Library of Ukraine

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Title Lessons from Toy-Models for the Dynamics of Loop Quantum Gravity
 
Creator Bonzom, V.
Laddha, A.
 
Description We review some approaches to the Hamiltonian dynamics of (loop) quantum gravity, the main issues being the regularization of the Hamiltonian and the continuum limit. First, Thiemann's definition of the quantum Hamiltonian is presented, and then more recent approaches. They are based on toy models which provide new insights into the difficulties and ambiguities faced in Thiemann's construction. The models we use are parametrized field theories, the topological BF model of which a special case is three-dimensional gravity which describes quantum flat space, and Regge lattice gravity.
 
Date 2019-02-18T11:10:19Z
2019-02-18T11:10:19Z
2012
 
Type Article
 
Identifier Lessons from Toy-Models for the Dynamics of Loop Quantum Gravity / V. Bonzom, A. Laddha // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 119 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 83C45; 57R56; 83C27
DOI: http://dx.doi.org/10.3842/SIGMA.2012.009
http://dspace.nbuv.gov.ua/handle/123456789/148376
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України