Quantum unitary evolution of linearly polarized S^1\times S^2 and S^3 Gowdy models coupled to massless scalar fields

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dc.creatorG., J. Fernando Barbero
dc.creatorVergel, Daniel Gómez
dc.creatorVillaseñor, Eduardo J. S.
dc.date2007-11-12
dc.date2008-02-26
dc.date.accessioned2026-07-07T11:13:05Z
dc.date.available2026-07-07T11:13:05Z
dc.descriptionThe purpose of this paper is to study in detail the problem of defining unitary evolution for linearly polarized S^1 x S^2 and S^3 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.
dc.descriptionFinal version to appear in Classical and Quantum Gravity
dc.identifierhttps://arxiv.org/abs/0711.1790
dc.identifierhttp://arxiv.org/abs/0711.1790
dc.identifierClass.Quant.Grav.25:085002,2008
dc.identifierdoi:10.1088/0264-9381/25/8/085002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/191598
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleQuantum unitary evolution of linearly polarized S^1\times S^2 and S^3 Gowdy models coupled to massless scalar fields
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