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Dipole symmetries from the topology of the phase space and the constraints on the low-energy spectrum
by Tomas Brauner, Naoki Yamamoto, Ryo Yokokura
Submission summary
| Authors (as registered SciPost users): | Tomáš Brauner |
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| Preprint Link: | https://arxiv.org/abs/2303.04479v3 (pdf) |
| Date accepted: | Feb. 5, 2024 |
| Date submitted: | Jan. 26, 2024, 8:55 a.m. |
| Submitted by: | Tomáš Brauner |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
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| Approach: | Theoretical |
Abstract
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.
Author comments upon resubmission
Sincerely,
The Authors
List of changes
Published as SciPost Phys. 16, 051 (2024)