We present a model for describing nuclear matter at finite density based on quarks interacting with chiral fields, σ and π and with vector mesons introduced as massive gauge fields. The chiral Lagrangian includes a logarithmic potential, associated with the breaking of scale invariance. We provide results for the soliton in vacuum and at finite density, using the Wigner-Seitz approximation. We show that the model can reach higher densities respect to the linear-σ model and that the introduction of vector mesons allows to obtain saturation. This result was never obtained before in similar approaches.