2019-04-23T05:56:46Z
http://digital.csic.es/dspace-oai/request
oai:digital.csic.es:10261/12633
2016-02-16T04:40:09Z
com_10261_135
com_10261_4
col_10261_388
Quantum Gowdy T3 model: a unitary description
Corichi, Alejandro
Cortez, Jerónimo
Mena Marugán, Guillermo A.
[PACS] Canonical quantization (gravitation)
[PACS] Lower dimensional and minisuperspace models in quantum gravity
[PACS] Quantum field theory in curved spacetime
[PACS] Quantum cosmology
17 pags.
The quantization of the family of linearly polarized Gowdy T3 spacetimes is discussed in detail, starting with a canonical analysis in which the true degrees of freedom are described by a scalar field that satisfies a Klein-Gordon type equation in a fiducial time-dependent background. A time-dependent canonical transformation, which amounts to a change of the basic (scalar) field of the model, brings the system to a description in terms of a Klein-Gordon equation on a background that is now static, although subject to a time-dependent potential. The system is quantized by means of a natural choice of annihilation and creation operators. The quantum time evolution is considered and shown to be unitary, so that both the Schrödinger and Heisenberg pictures can be consistently constructed. This has to be contrasted with previous treatments for which time evolution failed to be implementable as a unitary transformation. Possible implications for both canonical quantum gravity and quantum field theory in curved spacetime are noted.
2009-04-28T09:57:50Z
2009-04-28T09:57:50Z
2006-04-19
Artículo
Physical Review D, 73 ( 8), id. 084020 (2006)
0556-2821
http://hdl.handle.net/10261/12633
10.1103/PhysRevD.73.084020
eng
http://dx.doi.org/10.1103/PhysRevD.73.084020
openAccess
American Physical Society