Scrambling with conservation laws
Abstract In this article we discuss the impact of conservation laws, specifically U(1) charge conservation and energy conservation, on scrambling dynamics, especially on the approach to the late time fully scrambled state. As a model, we consider a d + 1 dimensional (d ≥ 2) holographic conformal fie...
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2021
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oai:doaj.org-article:69b34e3cc3164bc5a642c8e006df7a002021-11-28T12:39:12ZScrambling with conservation laws10.1007/JHEP11(2021)1741029-8479https://doaj.org/article/69b34e3cc3164bc5a642c8e006df7a002021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)174https://doaj.org/toc/1029-8479Abstract In this article we discuss the impact of conservation laws, specifically U(1) charge conservation and energy conservation, on scrambling dynamics, especially on the approach to the late time fully scrambled state. As a model, we consider a d + 1 dimensional (d ≥ 2) holographic conformal field theory with Einstein gravity dual. Using the holographic dictionary, we calculate out-of-time-order-correlators (OTOCs) that involve the conserved U(1) current operator or energy-momentum tensor. We show that these OTOCs approach their late time value as a power law in time, with a universal exponent d 2 $$ \frac{d}{2} $$ . We also generalize the result to compute OTOCs between general operators which have overlap with the conserved charges.Gong ChengBrian SwingleSpringerOpenarticleBlack HolesHolography and condensed matter physics (AdS/CMT)Global SymmetriesNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-30 (2021) |
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DOAJ |
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DOAJ |
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EN |
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Black Holes Holography and condensed matter physics (AdS/CMT) Global Symmetries Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 |
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Black Holes Holography and condensed matter physics (AdS/CMT) Global Symmetries Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Gong Cheng Brian Swingle Scrambling with conservation laws |
| description |
Abstract In this article we discuss the impact of conservation laws, specifically U(1) charge conservation and energy conservation, on scrambling dynamics, especially on the approach to the late time fully scrambled state. As a model, we consider a d + 1 dimensional (d ≥ 2) holographic conformal field theory with Einstein gravity dual. Using the holographic dictionary, we calculate out-of-time-order-correlators (OTOCs) that involve the conserved U(1) current operator or energy-momentum tensor. We show that these OTOCs approach their late time value as a power law in time, with a universal exponent d 2 $$ \frac{d}{2} $$ . We also generalize the result to compute OTOCs between general operators which have overlap with the conserved charges. |
| format |
article |
| author |
Gong Cheng Brian Swingle |
| author_facet |
Gong Cheng Brian Swingle |
| author_sort |
Gong Cheng |
| title |
Scrambling with conservation laws |
| title_short |
Scrambling with conservation laws |
| title_full |
Scrambling with conservation laws |
| title_fullStr |
Scrambling with conservation laws |
| title_full_unstemmed |
Scrambling with conservation laws |
| title_sort |
scrambling with conservation laws |
| publisher |
SpringerOpen |
| publishDate |
2021 |
| url |
https://doaj.org/article/69b34e3cc3164bc5a642c8e006df7a00 |
| work_keys_str_mv |
AT gongcheng scramblingwithconservationlaws AT brianswingle scramblingwithconservationlaws |
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1718407837034479616 |