Conserved Non-Singlet Charges for Staggered Fermion Hamiltonian in 3+1 Dimensions
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911552165117952 |
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| author | Onogi, Tetsuya Yamaoka, Tatsuya |
| author_facet | Onogi, Tetsuya Yamaoka, Tatsuya |
| contents | We study conserved charges of the staggered fermion Hamiltonian in 3+1 dimensions. By decomposing staggered fermions into Majorana components and exploiting lattice translation symmetries, we construct a set of conserved non-singlet charges. We analyze their algebra andshow that, although the charges exhibit nontrivial non-commutativity on the lattice, they generate axial SU(2)_L \tines SU(2)_R transformations for low-energy degrees of freedom in the continuum limit. Possible implications for anomalies are discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_26084 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Conserved Non-Singlet Charges for Staggered Fermion Hamiltonian in 3+1 Dimensions Onogi, Tetsuya Yamaoka, Tatsuya High Energy Physics - Lattice We study conserved charges of the staggered fermion Hamiltonian in 3+1 dimensions. By decomposing staggered fermions into Majorana components and exploiting lattice translation symmetries, we construct a set of conserved non-singlet charges. We analyze their algebra andshow that, although the charges exhibit nontrivial non-commutativity on the lattice, they generate axial SU(2)_L \tines SU(2)_R transformations for low-energy degrees of freedom in the continuum limit. Possible implications for anomalies are discussed. |
| title | Conserved Non-Singlet Charges for Staggered Fermion Hamiltonian in 3+1 Dimensions |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2603.26084 |