Robustness of the primordial power spectrum in hybrid loop quantum cosmology to approximations near the bounce

Robustness of the primordial power spectrum in hybrid loop quantum cosmology to approximations near the bounce
Kristina Giesel, Almudena Guill’en, Guillermo A. Mena Marug’an, Leonardo Ricci
arXiv:2608.12181v1 Announce Type: cross
Abstract: We prove the robustness of the analytic approximation used in (hybrid) loop quantum cosmology to compute the primordial power spectrum of the cosmological perturbations for a recently proposed vacuum state (the non-oscillatory state with asymptotic Hamiltonian diagonalization). To investigate this, we study different approximations to the effective mass of these perturbations near the bounce, showing that the P”oschl-Teller potential employed in previous works leads to indistinguishable power spectra compared to other estimations of the mass, provided that they successfully capture the characteristic scale of the bounce, which translates into a scale of power suppression.arXiv:2608.12181v1 Announce Type: cross
Abstract: We prove the robustness of the analytic approximation used in (hybrid) loop quantum cosmology to compute the primordial power spectrum of the cosmological perturbations for a recently proposed vacuum state (the non-oscillatory state with asymptotic Hamiltonian diagonalization). To investigate this, we study different approximations to the effective mass of these perturbations near the bounce, showing that the P”oschl-Teller potential employed in previous works leads to indistinguishable power spectra compared to other estimations of the mass, provided that they successfully capture the characteristic scale of the bounce, which translates into a scale of power suppression.