Автор |
Guillermo A Mena Marugán |
Дата выпуска |
1994-03-01 |
dc.description |
We carry out the non-perturbative canonical quantization of several types of cosmological models that have already been studied in the geometrodynamic formulation using the complex path-integral approach. We establish a relation between the choices of complex contours in the path integral and the sets of reality conditions for which the metric representation is well defined, proving that the ambiguity in the selection of complex contours disappears when one imposes suitable reality conditions. In most of the cases, the wavefunctions defined by means of the path integral turn out to be non-normalizable and cannot be accepted as proper quantum states. Moreover, the wavefunctions of the Universe picked out in quantum cosmology by the no-boundary condition and the tunneling proposals do not belong, in general, to the Hilbert space of quantum states. Finally, we show that different sets of reality conditions can lead to equivalent quantum theories. This fact enables us to extract physical predictions corresponding to Lorentzian gravity from quantum theories constructed with other than Lorentzian reality conditions. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
Reality conditions in non-perturbative quantum cosmology |
Тип |
paper |
DOI |
10.1088/0264-9381/11/3/012 |
Electronic ISSN |
1361-6382 |
Print ISSN |
0264-9381 |
Журнал |
Classical and Quantum Gravity |
Том |
11 |
Первая страница |
589 |
Последняя страница |
608 |
Аффилиация |
Guillermo A Mena Marugán; Center for Gravitational Physics and Geometry, The Pennsylvania State University, 104 Davey Laboratory, University Park, PA 16802-6300, USA |
Выпуск |
3 |