2024-03-29T01:01:38Zhttp://digital.csic.es/dspace-oai/requestoai:digital.csic.es:10261/163162012-06-10T22:00:00Zcom_10261_135com_10261_4col_10261_388
2009-08-27T07:38:27Z
urn:hdl:10261/16316
Quantum unitary evolution of linearly polarized S1 × S2 and S3 Gowdy models coupled to massless scalar fields
Barbero González, Jesús Fernando
Gómez Vergel, Daniel
Villaseñor, Eduardo J. S.
[PACS] Quantum fields in curved spacetime
[PACS] Canonical quantization
[PACS] Quantum cosmology
20 pags.
The purpose of this paper is to study in detail the problem of defining unitary evolution for linearly polarized S1 × S2 and S3 Gowdy models (in vacuum or coupled to massless scalar fields). We show that in the Fock quantizations of these systems no choice of acceptable complex structure leads to a unitary evolution for the original variables. Nonetheless, unitarity can be recovered by suitable redefinitions of the basic fields. These are dictated by the time-dependent conformal factors that appear in the description of the standard deparameterized form of these models as field theories in certain curved backgrounds. We also show the unitary equivalence of the Fock quantizations obtained from the SO(3)-symmetric complex structures for which the dynamics is unitarily implemented.
2009-08-27T07:38:27Z
2009-08-27T07:38:27Z
2008-03-26
artículo
Classical and Quantum Gravity 25 (8): 085002 (2008)
0264-9381
http://hdl.handle.net/10261/16316
10.1088/0264-9381/25/8/085002
eng
http://dx.doi.org/doi:10.1088/0264-9381/25/8/085002
closedAccess
Institute of Physics Publishing