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Cosmological perturbations in hybrid loop quantum cosmology: Mukhanov-Sasaki variables

AutorCastelló Gomar, Laura ; Fernández Méndez, Mikel ; Mena Marugán, Guillermo A. ; Olmedo, Javier
Fecha de publicación2014
EditorAmerican Physical Society
CitaciónPhysical Review D - Particles, Fields, Gravitation and Cosmology 90: 064015 (2014)
ResumenWe study cosmological perturbations in the framework of loop quantum cosmology, using a hybrid quantization approach and Mukhanov–Sasaki variables. The formulation in terms of these gauge invariants allows one to clarify the independence of the results on choices of gauge and facilitates the comparison with other approaches proposed to deal with cosmological perturbations in the context of loop quantum theory. A kind of Born–Oppenheimer ansatz is employed to extract the dynamics of the inhomogeneous perturbations, separating them from the degrees of freedom of the Friedmann–Robertson–Walker geometry. With this ansatz, we derive an approximate Schrödinger equation for the cosmological perturbations and study its range of validity. We also prove that, with an alternate factor ordering, the dynamics deduced for the perturbations is similar to the one found in the so-called dressed metric approach, apart from a possible scaling of the matter field in order to preserve its unitary evolution in the regime of quantum field theory in a curved background and some quantization prescription issues. Finally, we obtain the effective equations that are naturally associated with the Mukhanov–Sasaki variables, both with and without introducing the Born–Oppenheimer ansatz, and with the different factor orderings that we have studied. © 2014 American Physical Society
Descripción20 pags.; PACS numbers: 04.60.Pp, 04.60.Kz, 98.80.Qc
Identificadoresdoi: 10.1103/PhysRevD.90.064015
issn: 1550-2368
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