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In the present day, the theoretical description of the behavior of the cross section in the regime of high energies is still the focus of questioning. A proposal that is still valid, is that the slight growth of the cross section is associated with the exchange of an object with the quantum numbers of the vacuum, called Pomeron. Phenomenologically, via Regge's theory, it was possible to construct a value for its intercept. In QCD we find by means of perturbative calculations that the Pomeron is described through interactions between gluons in the form of a ladder. The evolution of the gluons in this ladder is represented by the BFKL equation. Its solution through a fixed coupling constant returns us as a result a cut in the complex plane of angular momentum. However, when it is solved with the running coupling constant, the cut is replaced by a sequence of poles. It is also possible to find, in more recent approaches, that the sum of the cut plus the sequence of poles, also appear as solution. The purpose of this paper is to summarize the Pomeron in Regge theory and the ways of solving the BFKL equation with running coupling. A proposed application is the diffractive production of massive vector mesons.