Second Order Formalism for fermions: Anomalies and Species doubling on the Laticce

Details Second Order Formalism for fermions: Anomalies and Species doubling on the Laticce Second Order Formalism for fermions: Anomalies and Species doubling on the Laticce

1993-01-18

arxiv.org/abs/hep-th/9301072v1

Physics

High Energy Physics

High Energy Physics - Theory

12pp, Plain TeX, IPNP-TH 92/83

Scientific paper

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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