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arXiv · 2605.09199

Lattice Quantization of Free Fermions without Doublers

Mario A. Serna Jr.·Paul M. Alsing
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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 $m=0$ 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 $U(1)$ symmetry which will become charge when shifted to a local gauge theory. We validated the methods numerically.

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BibTeXRIS

Mario A. Serna Jr., Paul M. Alsing. 2026-05-09. Lattice Quantization of Free Fermions without Doublers. https://arxiv.org/abs/2605.09199

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