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Quantum geometry and quantum gravity

AutorBarbero González, Jesús Fernando
Palabras clave[PACS] Loop quantum gravity, quantum geometry, spin foams
[PACS] Quantum mechanics
[PACS] Theory of quantized fields
Fecha de publicación25-jun-2008
EditorAmerican Institute of Physics
CitaciónAIP Conference Proceedings 1023(1): 3-33 (2008)
ResumenThe purpose of this contribution is to give an introduction to quantum geometry and loop quantum gravity for a wide audience of both physicists and mathematicians. From a physical point of view the emphasis will be on conceptual issues concerning the relationship of the formalism with other more traditional approaches inspired in the treatment of the fundamental interactions in the standard model. Mathematically I will pay special attention to functional analytic issues, the construction of the relevant Hilbert spaces and the definition and properties of geometric operators: areas and volumes.
Descripción31 pages, 3 figures.-- AIP Conference Proceedings of the XVI International Fall Workshop on Geometry and Physics (Lisbon, Portugal, Sep 5-8, 2007).
Versión del editorhttp://dx.doi.org/10.1063/1.2958178
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