RT Journal Article T1 Quantum corrections to the Mukhanov-Sasaki equations A1 Castelló Gomar, Laura A1 Mena Marugán, Guillermo A. A1 Martín Benito, Mercedes AB Recently, a lot of attention has been paid to the modifications of the power spectrum of primordial fluctuations caused by quantum cosmology effects. The origin of these modifications is corrections to the Mukhanov-Sasaki equations that govern the propagation of the primeval cosmological perturbations. The specific form of these corrections depends on a series of details of the quantization approach and of the prescription followed to implement it. Generally, the complexity of the theoretical quantum formulation is simplified in practice appealing to a semiclassical or effective approximation in order to perform concrete numerical computations. In this work, we introduce technical tools and design a procedure to deal with these quantum corrections beyond the most direct approximations employed so far in the literature. In particular, by introducing an interaction picture, we extract the quantum dynamics of the homogeneous geometry in absence of scalar field potential and inhomogeneities, dynamics that has been intensively studied and that can be integrated. The rest of our analysis focuses on the interaction evolution, putting forward methods to cope with it. The ultimate aim is to develop treatments that increase our ability to discriminate between the predictions of different quantization proposals for cosmological perturbations. PB American Physical Society SN 2470-0010 YR 2016 FD 2016 LK https://hdl.handle.net/20.500.14352/99383 UL https://hdl.handle.net/20.500.14352/99383 LA eng NO Castelló Gomar, Laura, et al. «Quantum Corrections to the Mukhanov-Sasaki Equations». Physical Review D, vol. 93, n.o 10, mayo de 2016, p. 104025. DOI.org (Crossref), https://doi.org/10.1103/PhysRevD.93.104025. NO Ministerio de Economía y Competitividad (España) NO Netherlands Organisation for Scientific Research DS Docta Complutense RD 15 sept 2024