Quantum-gravity effects for excited states of inflationary perturbations

Abstract

We generalize former findings regarding quantum-gravitational corrections arising from a canonical quantization of a perturbed Friedmann-Lema\^{\i}tre-Robertson-Walker (FLRW) universe during inflation by considering an initial state for the scalar and tensor perturbations that generalizes the adiabatic vacuum state and allows us to consider the scenario that the perturbation modes start their evolution in an excited state. Our result shows that the quantum-gravitationally corrected power spectra get modified by prefactors including the excitation numbers.