TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.6.4.082
TI  - Dipole symmetry breaking and fractonic Nambu-Goldstone mode
PY  - 2023/11/28
UR  - https://scipost.org/SciPostPhysCore.6.4.082
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 6
IS  - 4
SP  - 082
A1  - Afxonidis, Evangelos
AU  - Caddeo, Alessio
AU  - Hoyos, Carlos
AU  - Musso, Daniele
AB  - We introduce a family of quantum field theories for fields carrying monopole and dipole charges. In contrast to previous realizations, fields have quadratic two-derivative kinetic terms. The dipole symmetry algebra is realized in a discretized internal space and connected to the physical space through a background gauge field. We study spontaneous symmetry breaking of dipole symmetry in 1+1 dimensions in a large-$N$ limit. The trivial classical vacuum is lifted by quantum corrections into a vacuum which breaks dipole symmetry while preserving monopole charge. By means of a Hubbard-Stratonovich transformation, heat-kernel and large-$N$ techniques, we compute the effective action for the low-energy modes. We encounter a fractonic immobile Nambu-Goldstone mode whose dispersion characteristics avoid Coleman-Hohenberg-Mermin-Wagner theorem independently of the large-$N$ limit.
ER  -

@Article{10.21468/SciPostPhysCore.6.4.082,
	title={{Dipole symmetry breaking and fractonic Nambu-Goldstone mode}},
	author={Evangelos Afxonidis and Alessio Caddeo and Carlos Hoyos and Daniele Musso},
	journal={SciPost Phys. Core},
	volume={6},
	pages={082},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.6.4.082},
	url={https://scipost.org/10.21468/SciPostPhysCore.6.4.082},
}