2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/53473A new formulation for fermions on the lattice based on a discretization of a second order formalism is proposed. A comparison with the first order formalism in connection with the $U(1)$ anomaly and the doubling problem is presented. The new formulation allows to eliminate half of the degrees of freedom, which can be important in non-perturbative calculations, and it can new possibities to the formulation of chiral gauge theories.12pp, Plain TeX, IPNP-TH 92/83High Energy Physics - Theorytext