Lattice Fermions without Doublers

TL;DR

This paper proposes a novel lattice fermion formulation that eliminates fermion doublers by placing fermions on even sites, resulting in a smaller propagator and a nonlocal interaction, simplifying certain calculations.

Contribution

It introduces a new approach to lattice fermions that removes doublers by restricting fermions to even sites, reducing the size of the propagator and altering the interaction structure.

Findings

Fermions placed on even sites halve the momentum spectrum.

The resulting fermion propagator is significantly smaller, 256 times less than the standard.

The interaction becomes nonlocal due to the site restriction.

Abstract

By placing fermions only on the even sites of a lattice, one may halve the momentum spectrum and construct a theory without doublers. The interaction is nonlocal. The fermion propagator is not a sparse matrix, but because the unwanted fermionic states are absent from the formalism, it is 256 times smaller than the usual propagator.