TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.16.2.051
TI  - Dipole symmetries from the topology of the phase space and the constraints on the low-energy spectrum
PY  - 2024/02/20
UR  - https://scipost.org/SciPostPhys.16.2.051
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 16
IS  - 2
SP  - 051
A1  - Brauner, Tomáš
AU  - Yamamoto, Naoki
AU  - Yokokura, Ryo
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.16.2.051,
	title={{Dipole symmetries from the topology of the phase space and the constraints on the low-energy spectrum}},
	author={Tomáš Brauner and Naoki Yamamoto and Ryo Yokokura},
	journal={SciPost Phys.},
	volume={16},
	pages={051},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.16.2.051},
	url={https://scipost.org/10.21468/SciPostPhys.16.2.051},
}