Renormalization group analysis on emergence of higher rank symmetry and higher moment conservation
Higher rank symmetry and higher moment conservation have been drawn considerable attention from, e.g., subdiffusive transport to fracton topological order. In this paper, we perform a one-loop renormalization group (RG) analysis and show how these phenomena emerge at low energies. We consider a d-di...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2021-12-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.043176 |
| _version_ | 1797210887664173056 |
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| author | Hongchao Li Peng Ye |
| author_facet | Hongchao Li Peng Ye |
| author_sort | Hongchao Li |
| collection | DOAJ |
| description | Higher rank symmetry and higher moment conservation have been drawn considerable attention from, e.g., subdiffusive transport to fracton topological order. In this paper, we perform a one-loop renormalization group (RG) analysis and show how these phenomena emerge at low energies. We consider a d-dimensional model of interacting bosons of d components. At higher rank-symmetric points with conserved angular moments, the ath bosons have kinetic energy only along the x[over ̂]^{a} direction. Therefore, the symmetric points look highly anisotropic and fine-tuned. By studying RG in a wide vicinity of the symmetric points, we find that symmetry-disallowed kinetic terms tend to be irrelevant within the perturbative regime, which potentially leads to emergent higher rank symmetry and higher moment conservation at the deep infrared limit. While nonperturbative analysis is called for in the future, by regarding higher rank symmetry as an emergent phenomenon, the RG analysis presented in this paper holds alternative promise for realizing higher rank symmetry and higher moment conservation in experimentally achievable systems. |
| first_indexed | 2024-04-24T10:17:44Z |
| format | Article |
| id | doaj.art-d105c392db3b42eeadc2aff4842e17ac |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:17:44Z |
| publishDate | 2021-12-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-d105c392db3b42eeadc2aff4842e17ac2024-04-12T17:16:18ZengAmerican Physical SocietyPhysical Review Research2643-15642021-12-013404317610.1103/PhysRevResearch.3.043176Renormalization group analysis on emergence of higher rank symmetry and higher moment conservationHongchao LiPeng YeHigher rank symmetry and higher moment conservation have been drawn considerable attention from, e.g., subdiffusive transport to fracton topological order. In this paper, we perform a one-loop renormalization group (RG) analysis and show how these phenomena emerge at low energies. We consider a d-dimensional model of interacting bosons of d components. At higher rank-symmetric points with conserved angular moments, the ath bosons have kinetic energy only along the x[over ̂]^{a} direction. Therefore, the symmetric points look highly anisotropic and fine-tuned. By studying RG in a wide vicinity of the symmetric points, we find that symmetry-disallowed kinetic terms tend to be irrelevant within the perturbative regime, which potentially leads to emergent higher rank symmetry and higher moment conservation at the deep infrared limit. While nonperturbative analysis is called for in the future, by regarding higher rank symmetry as an emergent phenomenon, the RG analysis presented in this paper holds alternative promise for realizing higher rank symmetry and higher moment conservation in experimentally achievable systems.http://doi.org/10.1103/PhysRevResearch.3.043176 |
| spellingShingle | Hongchao Li Peng Ye Renormalization group analysis on emergence of higher rank symmetry and higher moment conservation Physical Review Research |
| title | Renormalization group analysis on emergence of higher rank symmetry and higher moment conservation |
| title_full | Renormalization group analysis on emergence of higher rank symmetry and higher moment conservation |
| title_fullStr | Renormalization group analysis on emergence of higher rank symmetry and higher moment conservation |
| title_full_unstemmed | Renormalization group analysis on emergence of higher rank symmetry and higher moment conservation |
| title_short | Renormalization group analysis on emergence of higher rank symmetry and higher moment conservation |
| title_sort | renormalization group analysis on emergence of higher rank symmetry and higher moment conservation |
| url | http://doi.org/10.1103/PhysRevResearch.3.043176 |
| work_keys_str_mv | AT hongchaoli renormalizationgroupanalysisonemergenceofhigherranksymmetryandhighermomentconservation AT pengye renormalizationgroupanalysisonemergenceofhigherranksymmetryandhighermomentconservation |