  The Cosmological Constant Problem emerges when Quantum Field Theory is
applied to the gravitational theory, due to the enormous magnitude of the
induced energy of the vacuum. The unique known solution of this problem
involves an extremely precise fine-tuning of the vacuum counterpart. We review
a few of the existing approaches to this problem based on the account of the
quantum (loop) effects and pay special attention to the ones involving the
renormalization group.
