Ponente
Descripción
In this seminar, we apply the formalism known as hybrid loop quantum cosmology to the physically interesting case of fermionic cosmological perturbations. Within this formalism, we study the possible splitting procedures between the cosmological geometry and the perturbations, leading to different Hamiltonian dynamics. The geometry is quantized by methods inspired in loop quantum gravity, whereas the perturbations are quantized by usual techniques of quantum field theory in curved spacetimes. We then discuss the freedom available to define creation and annihilation operators for the fermionic degrees of freedom and determine the sufficient and necessary conditions that this definition must satisfy in order to provide a quantum theory with good properties in the matter sector.