Weak Minimal Area in Entanglement Entropy
We revisit the minimal area condition of Ryu-Takayanagi in the holographic calculation of the entanglement entropy, in particular, the Legendre test and the Jacobi test. The necessary condition for the weak minimality is checked via Legendre test and its sufficient nature via Jacobi test. We show fo...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
|
| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/523408 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832566607087403008 |
|---|---|
| author | Shesansu Sekhar Pal Shubhalaxmi Rath |
| author_facet | Shesansu Sekhar Pal Shubhalaxmi Rath |
| author_sort | Shesansu Sekhar Pal |
| collection | DOAJ |
| description | We revisit the minimal area condition of Ryu-Takayanagi in the holographic calculation of the entanglement entropy, in particular, the Legendre test and the Jacobi test. The necessary condition for the weak minimality is checked via Legendre test and its sufficient nature via Jacobi test. We show for AdS black hole with a strip type entangling region that it is this minimality condition that makes the hypersurface unable to cross the horizon, which is in agreement with that studied earlier by Engelhardt et al. and Hubeny using a different approach. Moreover, demanding the weak minimality condition on the entanglement entropy functional with the higher derivative term puts a constraint on the Gauss-Bonnet coupling; that is, there should be an upper bound on the value of the coupling, λa<(d-3)/4(d-1). |
| format | Article |
| id | doaj-art-40678a6cf6aa420091cd07c8d8d79765 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-40678a6cf6aa420091cd07c8d8d797652025-02-03T01:03:35ZengWileyAdvances in High Energy Physics1687-73571687-73652015-01-01201510.1155/2015/523408523408Weak Minimal Area in Entanglement EntropyShesansu Sekhar Pal0Shubhalaxmi Rath1Department of Physics, Utkal University, Bhubaneswar 751004, IndiaCentre of Excellence in Theoretical and Mathematical Sciences, Siksha ‘O’ Anusandhan University, Khandagiri Square, Bhubaneswar 751030, IndiaWe revisit the minimal area condition of Ryu-Takayanagi in the holographic calculation of the entanglement entropy, in particular, the Legendre test and the Jacobi test. The necessary condition for the weak minimality is checked via Legendre test and its sufficient nature via Jacobi test. We show for AdS black hole with a strip type entangling region that it is this minimality condition that makes the hypersurface unable to cross the horizon, which is in agreement with that studied earlier by Engelhardt et al. and Hubeny using a different approach. Moreover, demanding the weak minimality condition on the entanglement entropy functional with the higher derivative term puts a constraint on the Gauss-Bonnet coupling; that is, there should be an upper bound on the value of the coupling, λa<(d-3)/4(d-1).http://dx.doi.org/10.1155/2015/523408 |
| spellingShingle | Shesansu Sekhar Pal Shubhalaxmi Rath Weak Minimal Area in Entanglement Entropy Advances in High Energy Physics |
| title | Weak Minimal Area in Entanglement Entropy |
| title_full | Weak Minimal Area in Entanglement Entropy |
| title_fullStr | Weak Minimal Area in Entanglement Entropy |
| title_full_unstemmed | Weak Minimal Area in Entanglement Entropy |
| title_short | Weak Minimal Area in Entanglement Entropy |
| title_sort | weak minimal area in entanglement entropy |
| url | http://dx.doi.org/10.1155/2015/523408 |
| work_keys_str_mv | AT shesansusekharpal weakminimalareainentanglemententropy AT shubhalaxmirath weakminimalareainentanglemententropy |