Diffusion and chaos from near AdS2 horizons
We calculate the thermal diffusivity D = κ/c[subscript ρ] and butterfly velocity v[subscript B] in holographic models that flow to AdS[subscript 2] × R[superscript d] fixed points in the infra-red. We show that both these quantities are governed by the same irrelevant deformation of AdS[subscript 2]...
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| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2017
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| Online Access: | http://hdl.handle.net/1721.1/107664 |
| _version_ | 1826191581796892672 |
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| author | Donos, Aristomenis Blake, Michael Andrew |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Donos, Aristomenis Blake, Michael Andrew |
| author_sort | Donos, Aristomenis |
| collection | MIT |
| description | We calculate the thermal diffusivity D = κ/c[subscript ρ] and butterfly velocity v[subscript B] in holographic models that flow to AdS[subscript 2] × R[superscript d] fixed points in the infra-red. We show that both these quantities are governed by the same irrelevant deformation of AdS[subscript 2] and hence establish a simple relationship between them. When this deformation corresponds to a universal dilaton mode of dimension Δ = 2 then this relationship is always given by D = v[subscript B][superscript 2]/(2πT). |
| first_indexed | 2024-09-23T08:58:09Z |
| format | Article |
| id | mit-1721.1/107664 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T08:58:09Z |
| publishDate | 2017 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1076642022-09-30T12:31:21Z Diffusion and chaos from near AdS2 horizons Donos, Aristomenis Blake, Michael Andrew Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Laboratory for Nuclear Science Blake, Michael Andrew We calculate the thermal diffusivity D = κ/c[subscript ρ] and butterfly velocity v[subscript B] in holographic models that flow to AdS[subscript 2] × R[superscript d] fixed points in the infra-red. We show that both these quantities are governed by the same irrelevant deformation of AdS[subscript 2] and hence establish a simple relationship between them. When this deformation corresponds to a universal dilaton mode of dimension Δ = 2 then this relationship is always given by D = v[subscript B][superscript 2]/(2πT). United States. Dept. of Energy. Office of High Energy Physics (Contract Number DE-SC0012567) 2017-03-23T17:34:05Z 2017-03-23T17:34:05Z 2017-02 2016-12 2017-02-05T04:20:07Z Article http://purl.org/eprint/type/JournalArticle 1029-8479 http://hdl.handle.net/1721.1/107664 Blake, Mike, and Aristomenis Donos. “Diffusion and Chaos from near AdS2 Horizons.” Journal of High Energy Physics 2017.2 (2017): n. pag. en http://dx.doi.org/10.1007/JHEP02(2017)013 Journal of High Energy Physics Creative Commons Attribution http://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Donos, Aristomenis Blake, Michael Andrew Diffusion and chaos from near AdS2 horizons |
| title | Diffusion and chaos from near AdS2 horizons |
| title_full | Diffusion and chaos from near AdS2 horizons |
| title_fullStr | Diffusion and chaos from near AdS2 horizons |
| title_full_unstemmed | Diffusion and chaos from near AdS2 horizons |
| title_short | Diffusion and chaos from near AdS2 horizons |
| title_sort | diffusion and chaos from near ads2 horizons |
| url | http://hdl.handle.net/1721.1/107664 |
| work_keys_str_mv | AT donosaristomenis diffusionandchaosfromnearads2horizons AT blakemichaelandrew diffusionandchaosfromnearads2horizons |