Second Order Formalism for fermions: Anomalies and Species doubling on the Laticce
J. L. Cortés, J. Gamboa, L. Velázquez
Abstract
A 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.
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