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Quantum unitary evolution of linearly polarized S1 × S2 and S3 Gowdy models coupled to massless scalar fields

AuthorsBarbero González, Jesús Fernando ; Gómez Vergel, Daniel ; Villaseñor, Eduardo J. S.
Keywords[PACS] Quantum fields in curved spacetime
[PACS] Canonical quantization
[PACS] Quantum cosmology
Issue Date26-Mar-2008
PublisherInstitute of Physics Publishing
CitationClassical and Quantum Gravity 25 (8): 085002 (2008)
AbstractThe 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.
Description20 pags.
Publisher version (URL)http://dx.doi.org/doi:10.1088/0264-9381/25/8/085002
Appears in Collections:(CFMAC-IEM) Artículos
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