Computing the Graph-Changing Dynamics of Loop Quantum Gravity
Universe, vol. 11, pp. 387
Abstract
In loop quantum gravity (LQG), states of the gravitational field are represented by labeled graphs called spin networks. Their dynamics can be described by a Hamiltonian constraint, which acts on the spin network states, modifying both spins and graphs. Fixed-graph approximations of the dynamics have been extensively studied, but its full graph-changing action so far remains elusive. The latter, alongside the solutions of its constraint, are arguably the missing features in canonical LQG to access phenomenology in all its richness. Here, we discuss a recently developed numerical tool that, for the first time, implements graph-changing dynamics via the Hamiltonian constraint. We explain how it is used to find new solutions to that constraint and to show that some quantum geometric observables behave differently than in the graph-preserving truncation. We also point out that these new numerical methods can find applications in other domains.
Authors 4
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Forschungszentrum Jülich · RWTH Aachen University
Affiliation as printed
Institute for Quantum Information, RWTH Aachen University, D-52056 Aachen, Germany
Peter Grünberg Institute, Theoretical Nanoelectronics, Forschungszentrum Jülich, D-52425 Jülich, Germany
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Instituto de Estructura de la Materia
Affiliation as printed
Instituto de Estructura de la Materia, IEM-CSIC, C/ Serrano 121, 28006 Madrid, Spain
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Instituto de Estructura de la Materia
Affiliation as printed
Instituto de Estructura de la Materia, IEM-CSIC, C/ Serrano 121, 28006 Madrid, Spain
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Forschungszentrum Jülich · RWTH Aachen University
Affiliation as printed
Institute for Quantum Information, RWTH Aachen University, D-52056 Aachen, Germany
Peter Grünberg Institute, Theoretical Nanoelectronics, Forschungszentrum Jülich, D-52425 Jülich, Germany
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