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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| Accès en ligne: | https://arxiv.org/abs/2605.09199 |
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| _version_ | 1866913107577667584 |
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| author | Serna Jr., Mario A. Alsing, Paul M. |
| author_facet | Serna Jr., Mario A. Alsing, Paul M. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_09199 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Lattice Quantization of Free Fermions without Doublers Serna Jr., Mario A. Alsing, Paul M. High Energy Physics - Lattice High Energy Physics - Theory Quantum Physics 81T25, 68U01, 81P16 G.2.0 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. |
| title | Lattice Quantization of Free Fermions without Doublers |
| topic | High Energy Physics - Lattice High Energy Physics - Theory Quantum Physics 81T25, 68U01, 81P16 G.2.0 |
| url | https://arxiv.org/abs/2605.09199 |