Simetria conforme e covariância galileana

This dissertation explores preliminary results of a covariant formulation for non-relativistic field theories with conformal simmetry. First, we review such symmetry and how to obtain the conformal group of the Minkowski space. Second, we review the Galilei group, which is the symmetry group of non-relativistic physics, the galilean covariance and the galilean manifold. Finally, based in available results regarding fermions at unitarity, we present the conformal group of the galilean manifold, its infinitesimal generators and associated finite transformations, presenting the scalar and electromagnetic fields as examples.