Probing renormalization group flows using entanglement entropy
In this paper we continue the study of renormalized entanglement entropy introduced in [1]. In particular, we investigate its behavior near an IR fixed point using holographic duality. We develop techniques which, for any static holographic geometry, enable us to extract the large radius expansion o...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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Springer-Verlag
2014
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| Online Access: | http://hdl.handle.net/1721.1/87666 https://orcid.org/0000-0002-4911-3183 |
| _version_ | 1811088781216841728 |
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| author | Liu, Hong Mezei, Mark Koppany |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Liu, Hong Mezei, Mark Koppany |
| author_sort | Liu, Hong |
| collection | MIT |
| description | In this paper we continue the study of renormalized entanglement entropy introduced in [1]. In particular, we investigate its behavior near an IR fixed point using holographic duality. We develop techniques which, for any static holographic geometry, enable us to extract the large radius expansion of the entanglement entropy for a spherical region. We show that for both a sphere and a strip, the approach of the renormalized entanglement entropy to the IR fixed point value contains a contribution that depends on the whole RG trajectory. Such a contribution is dominant, when the leading irrelevant operator is sufficiently irrelevant. For a spherical region such terms can be anticipated from a geometric expansion, while for a strip whether these terms have geometric origins remains to be seen. |
| first_indexed | 2024-09-23T14:07:27Z |
| format | Article |
| id | mit-1721.1/87666 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T14:07:27Z |
| publishDate | 2014 |
| publisher | Springer-Verlag |
| record_format | dspace |
| spelling | mit-1721.1/876662022-09-28T18:39:29Z Probing renormalization group flows using entanglement entropy Liu, Hong Mezei, Mark Koppany Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Liu, Hong Mezei, Mark Koppany In this paper we continue the study of renormalized entanglement entropy introduced in [1]. In particular, we investigate its behavior near an IR fixed point using holographic duality. We develop techniques which, for any static holographic geometry, enable us to extract the large radius expansion of the entanglement entropy for a spherical region. We show that for both a sphere and a strip, the approach of the renormalized entanglement entropy to the IR fixed point value contains a contribution that depends on the whole RG trajectory. Such a contribution is dominant, when the leading irrelevant operator is sufficiently irrelevant. For a spherical region such terms can be anticipated from a geometric expansion, while for a strip whether these terms have geometric origins remains to be seen. United States. Dept. of Energy (Cooperative Research Agreement DE-FG0205ER41360) Simons Foundation 2014-06-05T19:44:19Z 2014-06-05T19:44:19Z 2014-01 2013-10 Article http://purl.org/eprint/type/JournalArticle 1029-8479 1126-6708 http://hdl.handle.net/1721.1/87666 Liu, Hong, and Mark Mezei. “Probing Renormalization Group Flows Using Entanglement Entropy.” J. High Energ. Phys. 2014, no. 1 (January 2014). https://orcid.org/0000-0002-4911-3183 en_US http://dx.doi.org/10.1007/jhep01(2014)098 Journal of High Energy Physics Creative Commons Attribution http://creativecommons.org/licenses/by/4.0/ application/pdf Springer-Verlag Springer-Verlag |
| spellingShingle | Liu, Hong Mezei, Mark Koppany Probing renormalization group flows using entanglement entropy |
| title | Probing renormalization group flows using entanglement entropy |
| title_full | Probing renormalization group flows using entanglement entropy |
| title_fullStr | Probing renormalization group flows using entanglement entropy |
| title_full_unstemmed | Probing renormalization group flows using entanglement entropy |
| title_short | Probing renormalization group flows using entanglement entropy |
| title_sort | probing renormalization group flows using entanglement entropy |
| url | http://hdl.handle.net/1721.1/87666 https://orcid.org/0000-0002-4911-3183 |
| work_keys_str_mv | AT liuhong probingrenormalizationgroupflowsusingentanglemententropy AT mezeimarkkoppany probingrenormalizationgroupflowsusingentanglemententropy |