Quantcast
  • Register
PhysicsOverflow is a next-generation academic platform for physicists and astronomers, including a community peer review system and a postgraduate-level discussion forum analogous to MathOverflow.

Welcome to PhysicsOverflow! PhysicsOverflow is an open platform for community peer review and graduate-level Physics discussion.

Please help promote PhysicsOverflow ads elsewhere if you like it.

News

New printer friendly PO pages!

Migration to Bielefeld University was successful!

Please vote for this year's PhysicsOverflow ads!

Please do help out in categorising submissions. Submit a paper to PhysicsOverflow!

... see more

Tools for paper authors

Submit paper
Claim Paper Authorship

Tools for SE users

Search User
Reclaim SE Account
Request Account Merger
Nativise imported posts
Claim post (deleted users)
Import SE post

Users whose questions have been imported from Physics Stack Exchange, Theoretical Physics Stack Exchange, or any other Stack Exchange site are kindly requested to reclaim their account and not to register as a new user.

Public \(\beta\) tools

Report a bug with a feature
Request a new functionality
404 page design
Send feedback

Attributions

(propose a free ad)

Site Statistics

145 submissions , 122 unreviewed
3,930 questions , 1,398 unanswered
4,851 answers , 20,616 comments
1,470 users with positive rep
501 active unimported users
More ...

Quantum corrections to holographic entanglement entropy

+ 2 like - 0 dislike
80 views

I was looking at this paper by Faulkner-Lewkowycz-Maldacena. They give a very interesting proposal of calculating one loop (i.e, 1/N) correction to EE from computing the EE between the bulk regions. The proposal is really fascinating. But I didn't quite realize few things.

  1. What was the motivation behind this proposal? I mean why should one expect that 'this quantity' must be 1/N corrections?

  2. What exactly one has to compute in the bulk geometry? They have some examples in the paper but I couldn't understand how to calculate the EE between bulk regions. Can someone refer to some articles where some concrete calculations have been done in this direction?


This post imported from StackExchange Physics at 2015-08-25 07:22 (UTC), posted by SE-user pinu

asked Jul 24, 2015 in Theoretical Physics by Physics Moron (280 points) [ revision history ]
edited Aug 25, 2015 by Dilaton
holographic EE via Ryu-Takayanagi is a statement that EE is given by areas of classical bulk geometry. Classical geometry is only an approximation to the bulk quantum gravity theory that only works in the large N limit, hence one would naturally expect quantum corrections.

This post imported from StackExchange Physics at 2015-08-25 07:22 (UTC), posted by SE-user bechira
@bechira I understand why there should be quantum corrections. I was wondering why that particular quantity should be the one loop correction? Is there any easier (may be very naive) way to see this?

This post imported from StackExchange Physics at 2015-08-25 07:22 (UTC), posted by SE-user pinu
Are you asking whether there's a easier way to do what they do in section 2.2 of that paper? If that's the case I doubt it.

This post imported from StackExchange Physics at 2015-08-25 07:22 (UTC), posted by SE-user bechira
Yes. Usually people conjecture something with some motivations/anticipations. Those may be very crude or naive. I didn't realize why one even should expect such a thing! May be I am not smart enough. :)

This post imported from StackExchange Physics at 2015-08-25 07:22 (UTC), posted by SE-user pinu

Your answer

Please use answers only to (at least partly) answer questions. To comment, discuss, or ask for clarification, leave a comment instead.
To mask links under text, please type your text, highlight it, and click the "link" button. You can then enter your link URL.
Please consult the FAQ for as to how to format your post.
This is the answer box; if you want to write a comment instead, please use the 'add comment' button.
Live preview (may slow down editor)   Preview
Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
If you are a human please identify the position of the character covered by the symbol $\varnothing$ in the following word:
p$\hbar\varnothing$sicsOverflow
Then drag the red bullet below over the corresponding character of our banner. When you drop it there, the bullet changes to green (on slow internet connections after a few seconds).
To avoid this verification in future, please log in or register.




user contributions licensed under cc by-sa 3.0 with attribution required

Your rights
...