On the renormalization of the chiral fermion meson model: an algebraic approach

We reinvestigate the problem of the renormalization of the chiral fermion meson model on the light of the regularization independent algebraic method. The present work is intended as a useful application of a modern technique in theory of current interest for the description of low energy hadron phenomenology. We show that the model is stable under radiative corrections and anomaly free in a regularization free way without having to resort to the explicitly calculation of Feynman diagrams. (author)