The cosmological constant problem in a minimal length scenario

The cosmological constant problem represents one of the most important unresolved issues in modern theoretical physics. It consists in the enormous numerical discrepancy between the measured value of vacuum energy density and the one estimated within the framework of quantum field theory (QFT). Following the idea that, regardless of the choice of a specific model, the quantum nature of gravity should give rise to a fundamental minimal length scale, this thesis aims to study the phenomenological consequences of introducing such a minimal length within the framework of QFT in curved spacetimes, specifically in relation to the cosmological constant problem. In particular, the mathematical apparatus related to the point-splitting technique to regularize quadratic functions of quantum fields was employed. The results achieved do not appear to differ significantly from those obtained through the typical flat spacetime approach. Nevertheless, the proposed approach could suggest new perspectives on the problem of divergences in quantum field theory.