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

Physics

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