Lattice Quantization of Free Fermions without Doublers
arXiv:2605.09199
Abstract
We present a method to quantize free fermions which eliminates the doublers when implemented on the lattice in any number of dimensions and in the limit. The elimination of doublers is achieved by combining a second-order description of fermions, with the tools associated with non-Hermitian Hamiltonians. We identify a new Pseudo-Hermitian symmetry of the second-order fermion equation, and we identify the associated symmetry which will become charge when shifted to a local gauge theory. We validated the methods numerically.
16 pages, 4 figures