Information scrambling with higher-form fields
Abstract The late time behavior of OTOCs involving generic non-conserved local operators show exponential decay in chaotic many body systems. However, it has been recently observed that for certain holographic theories, the OTOC involving the U(1) conserved current for a gauge field instead varies d...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-02-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP02(2025)008 |
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| _version_ | 1823863425049034752 |
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| author | Karunava Sil Sourav Maji Stavros Christodoulou Abhishek Chowdhury |
| author_facet | Karunava Sil Sourav Maji Stavros Christodoulou Abhishek Chowdhury |
| author_sort | Karunava Sil |
| collection | DOAJ |
| description | Abstract The late time behavior of OTOCs involving generic non-conserved local operators show exponential decay in chaotic many body systems. However, it has been recently observed that for certain holographic theories, the OTOC involving the U(1) conserved current for a gauge field instead varies diffusively at late times. The present work generalizes this observation to conserved currents corresponding to higher-form symmetries that belong to a wider class of symmetries known as generalized symmetries. We started by computing the late time behavior of OTOCs involving U(1) current operators in five dimensional AdS-Schwarzschild black hole geometry for the 2-form antisymmetric B-fields. The bulk solution for the B-field exhibits logarithmic divergences near the asymptotic AdS boundary which can be regularized by introducing a double trace deformation in the boundary CFT. Finally, we consider the more general case with antisymmetric p-form fields in arbitrary dimensions. In the scattering approach, the boundary OTOC can be written as an inner product between asymptotic ‘in’ and ‘out’ states which in our case is equivalent to computing the inner product between two bulk fields with and without a shockwave background. We observe that the late time OTOCs have power law tails which seems to be a universal feature of the higher-form fields with U(1) charge conservation. |
| format | Article |
| id | doaj-art-6fb61efac7344ed987c70e0e2d8b3671 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-6fb61efac7344ed987c70e0e2d8b36712025-02-09T12:08:53ZengSpringerOpenJournal of High Energy Physics1029-84792025-02-012025212810.1007/JHEP02(2025)008Information scrambling with higher-form fieldsKarunava Sil0Sourav Maji1Stavros Christodoulou2Abhishek Chowdhury3Department of Physics, New Alipore CollegeDepartment of Physics, School of Basic Sciences, Indian Institute of Technology BhubaneswarDepartment of Physics, University of CyprusDepartment of Physics, School of Basic Sciences, Indian Institute of Technology BhubaneswarAbstract The late time behavior of OTOCs involving generic non-conserved local operators show exponential decay in chaotic many body systems. However, it has been recently observed that for certain holographic theories, the OTOC involving the U(1) conserved current for a gauge field instead varies diffusively at late times. The present work generalizes this observation to conserved currents corresponding to higher-form symmetries that belong to a wider class of symmetries known as generalized symmetries. We started by computing the late time behavior of OTOCs involving U(1) current operators in five dimensional AdS-Schwarzschild black hole geometry for the 2-form antisymmetric B-fields. The bulk solution for the B-field exhibits logarithmic divergences near the asymptotic AdS boundary which can be regularized by introducing a double trace deformation in the boundary CFT. Finally, we consider the more general case with antisymmetric p-form fields in arbitrary dimensions. In the scattering approach, the boundary OTOC can be written as an inner product between asymptotic ‘in’ and ‘out’ states which in our case is equivalent to computing the inner product between two bulk fields with and without a shockwave background. We observe that the late time OTOCs have power law tails which seems to be a universal feature of the higher-form fields with U(1) charge conservation.https://doi.org/10.1007/JHEP02(2025)008Holography and HydrodynamicsGauge-Gravity CorrespondenceGlobal SymmetriesHolography and Condensed Matter Physics (AdS/CMT) |
| spellingShingle | Karunava Sil Sourav Maji Stavros Christodoulou Abhishek Chowdhury Information scrambling with higher-form fields Journal of High Energy Physics Holography and Hydrodynamics Gauge-Gravity Correspondence Global Symmetries Holography and Condensed Matter Physics (AdS/CMT) |
| title | Information scrambling with higher-form fields |
| title_full | Information scrambling with higher-form fields |
| title_fullStr | Information scrambling with higher-form fields |
| title_full_unstemmed | Information scrambling with higher-form fields |
| title_short | Information scrambling with higher-form fields |
| title_sort | information scrambling with higher form fields |
| topic | Holography and Hydrodynamics Gauge-Gravity Correspondence Global Symmetries Holography and Condensed Matter Physics (AdS/CMT) |
| url | https://doi.org/10.1007/JHEP02(2025)008 |
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