Dipole symmetries from the topology of the phase space and the constraints on the low-energy spectrum
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866913237789835264 |
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| author | Brauner, Tomas Yamamoto, Naoki Yokokura, Ryo |
| author_facet | Brauner, Tomas Yamamoto, Naoki Yokokura, Ryo |
| contents | We demonstrate the general existence of a local dipole conservation law in bosonic field theory. The scalar charge density arises from the symplectic form of the system, whereas the tensor current descends from its stress tensor. The algebra of spatial translations becomes centrally extended in presence of field configurations with a finite nonzero charge. Furthermore, when the symplectic form is closed but not exact, the system may, surprisingly, lack a well-defined momentum density. This leads to a theorem for the presence of additional light modes in the system whenever the short-distance physics is governed by a translationally invariant local field theory. We also illustrate this mechanism for axion electrodynamics as an example of a system with Nambu--Goldstone modes of higher-form symmetries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_04479 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Dipole symmetries from the topology of the phase space and the constraints on the low-energy spectrum Brauner, Tomas Yamamoto, Naoki Yokokura, Ryo High Energy Physics - Theory Strongly Correlated Electrons We demonstrate the general existence of a local dipole conservation law in bosonic field theory. The scalar charge density arises from the symplectic form of the system, whereas the tensor current descends from its stress tensor. The algebra of spatial translations becomes centrally extended in presence of field configurations with a finite nonzero charge. Furthermore, when the symplectic form is closed but not exact, the system may, surprisingly, lack a well-defined momentum density. This leads to a theorem for the presence of additional light modes in the system whenever the short-distance physics is governed by a translationally invariant local field theory. We also illustrate this mechanism for axion electrodynamics as an example of a system with Nambu--Goldstone modes of higher-form symmetries. |
| title | Dipole symmetries from the topology of the phase space and the constraints on the low-energy spectrum |
| topic | High Energy Physics - Theory Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2303.04479 |