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This article is cited in 12 scientific papers (total in 12 papers)
Lessons from toy-models for the dynamics of loop quantum gravity
Valentin Bonzoma, Alok Laddhab a Perimeter Institute for Theoretical Physics, 31 Caroline St. N, ON N2L 2Y5, Waterloo, Canada
b Institute for Gravitation and the Cosmos, Pennsylvania State University, University Park, PA 16802-6300, USA
Abstract:
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.
Keywords:
Hamiltonian constraint, loop quantum gravity, parametrized field theories, topological BF theory, discrete gravity.
Received: October 11, 2011; in final form February 24, 2012; Published online March 7, 2012
Citation:
Valentin Bonzom, Alok Laddha, “Lessons from toy-models for the dynamics of loop quantum gravity”, SIGMA, 8 (2012), 009, 50 pp.
Linking options:
https://www.mathnet.ru/eng/sigma686 https://www.mathnet.ru/eng/sigma/v8/p9
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Abstract page: | 169 | Full-text PDF : | 40 | References: | 25 |
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