Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-12-10
Class.Quant.Grav.25:145008,2008
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
20 pages. Comments and references added
Scientific paper
10.1088/0264-9381/25/14/145008
We consider the quantum dynamics of a massless scalar field in de Sitter space-time. The classical evolution is represented by a canonical transformation on the phase space for the field theory. By studying the corresponding Bogoliubov transformations, we show that the symplectic map that encodes the evolution between two instants of time cannot be unitarily implemented on any Fock space built from a SO(4)-symmetric complex structure. We will show also that, in contrast with some effectively lower dimensional examples arising from Quantum General Relativity such as Gowdy models, it is impossible to find a time dependent conformal redefinition of the massless scalar field leading to a quantum unitary dynamics.
Vergel Daniel Gómez
Villaseñor Eduardo J. S.
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