Non-Oscillatory Power Spectrum From States of Low Energy in Kinetically Dominated Early Universes
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Loop quantum cosmologyInflationPrimordial perturbationsPower spectraQuantum field theory in curved spacetimesStates of low energyNon-oscillatory vacuum state
Martín-Benito M, Neves RB and Olmedo J (2021) Non-Oscillatory Power Spectrum From States of Low Energy in Kinetically Dominated Early Universes. Front. Astron. Space Sci. 8:702543. [doi: 10.3389/fspas.2021.702543]
SponsorshipFEDER2014-2020 Junta de Andalucía-Consejería de Economía y Conocimiento E-FQM-262-UGR18; Spanish Government FIS2017-86497-C2-2-P, PID2019-105943GB-I00; Fundação para a Ciência e a Tecnologia; Universidad de Granada; Fundació Catalana de Trasplantament SFRH/BD/143525/2019
Recently, States of Low Energy (SLEs) have been proposed as viable vacuum states of primordial perturbations within Loop Quantum Cosmology (LQC). In this work we investigate the effect of the high curvature region of LQC on the definition of SLEs. Shifting the support of the test function that defines them away from this regime results in primordial power spectra of perturbations closer to those of the so-called Non-oscillatory (NO) vacuum, which is another viable choice of initial conditions previously introduced in the LQC context. Furthermore, through a comparison with the Hadamard-like SLEs, we prove that the NO vacuum is of Hadamard type as well.