Dipole symmetry breaking and fractonic Nambu-Goldstone mode
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 throu...
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| Format: | Article |
| Language: | English |
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SciPost
2023-11-01
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| Series: | SciPost Physics Core |
| Online Access: | https://scipost.org/SciPostPhysCore.6.4.082 |
| _version_ | 1827631356537995264 |
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| author | Evangelos Afxonidis, Alessio Caddeo, Carlos Hoyos, Daniele Musso |
| author_facet | Evangelos Afxonidis, Alessio Caddeo, Carlos Hoyos, Daniele Musso |
| author_sort | Evangelos Afxonidis, Alessio Caddeo, Carlos Hoyos, Daniele Musso |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T14:19:50Z |
| format | Article |
| id | doaj.art-9d6fa07b17a64119ad480668b8126857 |
| institution | Directory Open Access Journal |
| issn | 2666-9366 |
| language | English |
| last_indexed | 2024-03-09T14:19:50Z |
| publishDate | 2023-11-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics Core |
| spelling | doaj.art-9d6fa07b17a64119ad480668b81268572023-11-28T16:04:48ZengSciPostSciPost Physics Core2666-93662023-11-016408210.21468/SciPostPhysCore.6.4.082Dipole symmetry breaking and fractonic Nambu-Goldstone modeEvangelos Afxonidis, Alessio Caddeo, Carlos Hoyos, Daniele MussoWe 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.https://scipost.org/SciPostPhysCore.6.4.082 |
| spellingShingle | Evangelos Afxonidis, Alessio Caddeo, Carlos Hoyos, Daniele Musso Dipole symmetry breaking and fractonic Nambu-Goldstone mode SciPost Physics Core |
| title | Dipole symmetry breaking and fractonic Nambu-Goldstone mode |
| title_full | Dipole symmetry breaking and fractonic Nambu-Goldstone mode |
| title_fullStr | Dipole symmetry breaking and fractonic Nambu-Goldstone mode |
| title_full_unstemmed | Dipole symmetry breaking and fractonic Nambu-Goldstone mode |
| title_short | Dipole symmetry breaking and fractonic Nambu-Goldstone mode |
| title_sort | dipole symmetry breaking and fractonic nambu goldstone mode |
| url | https://scipost.org/SciPostPhysCore.6.4.082 |
| work_keys_str_mv | AT evangelosafxonidisalessiocaddeocarloshoyosdanielemusso dipolesymmetrybreakingandfractonicnambugoldstonemode |