On memory in exponentially expanding spaces
Author's final manuscript: May 28, 2013
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
Springer-Verlag
2014
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| Online Access: | http://hdl.handle.net/1721.1/86201 https://orcid.org/0000-0002-8348-6506 |
| _version_ | 1826213220090642432 |
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| author | Stanford, Douglas Roberts, Daniel Adam |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Stanford, Douglas Roberts, Daniel Adam |
| author_sort | Stanford, Douglas |
| collection | MIT |
| description | Author's final manuscript: May 28, 2013 |
| first_indexed | 2024-09-23T15:45:22Z |
| format | Article |
| id | mit-1721.1/86201 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T15:45:22Z |
| publishDate | 2014 |
| publisher | Springer-Verlag |
| record_format | dspace |
| spelling | mit-1721.1/862012022-10-02T03:53:09Z On memory in exponentially expanding spaces Stanford, Douglas Roberts, Daniel Adam Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Roberts, Daniel Adam Roberts, Daniel Adam Author's final manuscript: May 28, 2013 We examine the degree to which fluctuating dynamics on exponentially expanding spaces remember initial conditions. In de Sitter space, the global late-time configuration of a free scalar field always contains information about early fluctuations. By contrast, fluctuations near the boundary of Euclidean Anti-de Sitter may or may not remember conditions in the center, with a transition at Δ = d/2. We connect these results to literature about statistical mechanics on trees and make contact with the observation by Anninos and Denef that the configuration space of a massless dS field exhibits ultrametricity. We extend their analysis to massive fields, finding that preference for isosceles triangles persists as long as Δ− < d/4. American Society for Engineering Education. National Defense Science and Engineering Graduate Fellowship Hertz Foundation United States. Dept. of Energy (Contract DE-FG02-05ER41360) 2014-04-17T16:22:48Z 2014-04-17T16:22:48Z 2013-06 2013-04 Article http://purl.org/eprint/type/JournalArticle 1029-8479 1126-6708 http://hdl.handle.net/1721.1/86201 Roberts, Daniel A., and Douglas Stanford. “On Memory in Exponentially Expanding Spaces.” J. High Energ. Phys. 2013, no. 6 (June 2013). https://orcid.org/0000-0002-8348-6506 en_US http://dx.doi.org/10.1007/JHEP06(2013)042 Journal of High Energy Physics Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf Springer-Verlag Roberts |
| spellingShingle | Stanford, Douglas Roberts, Daniel Adam On memory in exponentially expanding spaces |
| title | On memory in exponentially expanding spaces |
| title_full | On memory in exponentially expanding spaces |
| title_fullStr | On memory in exponentially expanding spaces |
| title_full_unstemmed | On memory in exponentially expanding spaces |
| title_short | On memory in exponentially expanding spaces |
| title_sort | on memory in exponentially expanding spaces |
| url | http://hdl.handle.net/1721.1/86201 https://orcid.org/0000-0002-8348-6506 |
| work_keys_str_mv | AT stanforddouglas onmemoryinexponentiallyexpandingspaces AT robertsdanieladam onmemoryinexponentiallyexpandingspaces |