Lattice chiral symmetry from bosons in 3+1d
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914455319740416 |
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| author | Lu, Zhiyao Seifnashri, Sahand Shao, Shu-Heng |
| author_facet | Lu, Zhiyao Seifnashri, Sahand Shao, Shu-Heng |
| contents | We present a solvable Hamiltonian that realizes an exact lattice chiral $U(1)_V \times U(1)_A$ symmetry. Nielsen-Ninomiya-type no-go theorems are evaded by using lattice bosons rather than fermions. The continuum limit is a compact boson field theory with an axion-like coupling. The $U(1)_V$ symmetry shifts the scalar, while $U(1)_A$ acts on local operators associated with short axion strings and is transmuted into a higher-form symmetry in the continuum limit. We demonstrate the chiral anomaly by showing that the lattice theta angle is shifted by an axial rotation when $U(1)_V$ is gauged. Gauging either $U(1)_V$ or $U(1)_A$ leads to lattice non-invertible and 2-group symmetries, respectively, matching the continuum picture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_06307 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Lattice chiral symmetry from bosons in 3+1d Lu, Zhiyao Seifnashri, Sahand Shao, Shu-Heng High Energy Physics - Theory Strongly Correlated Electrons High Energy Physics - Lattice We present a solvable Hamiltonian that realizes an exact lattice chiral $U(1)_V \times U(1)_A$ symmetry. Nielsen-Ninomiya-type no-go theorems are evaded by using lattice bosons rather than fermions. The continuum limit is a compact boson field theory with an axion-like coupling. The $U(1)_V$ symmetry shifts the scalar, while $U(1)_A$ acts on local operators associated with short axion strings and is transmuted into a higher-form symmetry in the continuum limit. We demonstrate the chiral anomaly by showing that the lattice theta angle is shifted by an axial rotation when $U(1)_V$ is gauged. Gauging either $U(1)_V$ or $U(1)_A$ leads to lattice non-invertible and 2-group symmetries, respectively, matching the continuum picture. |
| title | Lattice chiral symmetry from bosons in 3+1d |
| topic | High Energy Physics - Theory Strongly Correlated Electrons High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2604.06307 |