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Título

Quantum Gowdy T3 model: Schrödinger representation with unitary dynamics

AutorCorichi, Alejandro; Cortez, Jerónimo; Mena Marugán, Guillermo A. ; Velhinho, José M.
Palabras clave[PACS] Quantum field theory in curved spacetime
[PACS] Canonical quantization (gravitation)
[PACS] Quantum cosmology
Fecha de publicación27-dic-2007
EditorAmerican Physical Society
CitaciónPhysical Review D, 76 (12), id. 124031 (2007)
ResumenThe linearly polarized Gowdy T3 model is paradigmatic for studying technical and conceptual issues in the quest for a quantum theory of gravity since, after a suitable and almost complete gauge fixing, it becomes an exactly soluble midisuperspace model. Recently, a new quantization of the model, possessing desired features such as a unitary implementation of the gauge group and of the time evolution, has been put forward and proven to be essentially unique. An appropriate setting for making contact with other approaches to canonical quantum gravity is provided by the Schrödinger representation, where states are functionals on the configuration space of the theory. Here we construct this functional description, analyze the time evolution in this context and show that it is also unitary when restricted to physical states, i.e. states which are solutions to the remaining constraint of the theory.
Descripción12 pags.
Versión del editorhttp://dx.doi.org/ 10.1103/PhysRevD.76.124031
URIhttp://hdl.handle.net/10261/12755
DOI10.1103/PhysRevD.76.124031
ISSN0556-2821
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