Weak Minimal Area in Entanglement Entropy
Joint Authors
Pal, Shesansu Sekhar
Rath, Shubhalaxmi
Source
Advances in High Energy Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-02-26
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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).
American Psychological Association (APA)
Pal, Shesansu Sekhar& Rath, Shubhalaxmi. 2015. Weak Minimal Area in Entanglement Entropy. Advances in High Energy Physics،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1052527
Modern Language Association (MLA)
Pal, Shesansu Sekhar& Rath, Shubhalaxmi. Weak Minimal Area in Entanglement Entropy. Advances in High Energy Physics No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1052527
American Medical Association (AMA)
Pal, Shesansu Sekhar& Rath, Shubhalaxmi. Weak Minimal Area in Entanglement Entropy. Advances in High Energy Physics. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1052527
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052527