[en] In this paper we report a study on the poles of the propagators of σ and ω mesons in the space-like region. In this region a zero sound can appear (a collective mode having a dispersion relation analogue to that obtained in sound propagation, but appearing at zero temperature) when the nucleon-nucleon interaction used is sufficiently repulsive. We have determined this zero sound by using a relativistic Hartree approximation, a model in which the vacuum fluctuations depend on a renormalization scale. Two renormalization schemes, corresponding to two different values of this scheme are physically acceptable. The first one corresponds to the relativistic Hartree approximation usually utilized, which minimizes the three and four body vacuum interactions. This leads to an incompressibility module which is two times higher than its experimental value. The second procedure minimizes the tree and four body interactions in the medium at saturation density, thus permitting the correct reproduction of the nuclear matter compressibility. We have shown that the zero sound which appears near the saturation density with the pure Hartree approximation occurs now at a density which is two times higher than the saturation density when the second choice of renormalization scale is done