Quantum Gowdy T{sup 3} model: Schroedinger representation with unitary dynamics
- Instituto de Matematicas, Universidad Nacional Autonoma de Mexico, UNAM-Campus Morelia, Apartado Postal 61-3, Morelia, Michoacan 58090 (Mexico)
- Departamento de Fisica, Facultad de Ciencias, Universidad Nacional Autonoma de Mexico, Apartado Postal 50-542, Mexico D.F. 04510 (Mexico)
- Instituto de Estructura de la Materia, CSIC, Serrano 121, 28006 Madrid (Spain)
- Departamento de Fisica, Universidade da Beira Interior, Rua Marques D'Avila e Bolama, 6201-001 Covilha (Portugal)
The linearly polarized Gowdy T{sup 3} 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 Schroedinger 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.
- OSTI ID:
- 21024056
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 76, Issue 12; Other Information: DOI: 10.1103/PhysRevD.76.124031; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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