A QFT topics for entanglement entropy

[shinobi20]

TL;DR Summary

My goal is to study holographic entanglement entropy, but before that I need to study entanglement entropy in QFT first.

I want to know what are the QFT topics that I need to understand in order to proceed in reading papers on entanglement entropy such as,

Entanglement Entropy and Quantum Field Theory
Entanglement entropy in free quantum field theory
Entanglement entropy: holography and renormalization group

An example book could be QFT by Blundell, can anyone point which chapters/topics I need to study?

Contents of the book can be seen here:
Quantum Field Theory for the Gifted Amateur

I am only interested in studying QFT for the sake of understanding entanglement entropy. I have studied until canonical quantization but I still want to get some comments. Also, if anyone can give me extra advice on how to enhance my understanding in this area would be greatly appreciated!

I think I saw @ShayanJ discussed some topics on entanglement entropy so it would be great to also hear from him.

 

[Jason Bennett]

^^^ i second this question! Would love some pointers. Information theory/stat mech maybe?

 

[king vitamin]

Some good references:

Tom Hartman's lecture notes: http://www.hartmanhep.net/topics2015/

Dan Harlow's lecture notes: https://arxiv.org/abs/1409.1231

The last chapter of Eduardo Fradkin's textbook Field Theories of Condensed Matter Physics concerns entanglement in QFTs and gives an introduction to the Calabrese-Cardy approach.

I quite like the Casini-Huerta review linked in the first post. I have not watched these personally, but you can find video lectures by Horacio Casini given at Perimeter Institute here: http://pirsa.org/index.php?p=speaker&name=Horacio_Casini

I have done some research on entanglement in QFTs myself and would be happy to answer any questions you have.

 

[Jason Bennett]

Some good references:

Tom Hartman's lecture notes: http://www.hartmanhep.net/topics2015/

Dan Harlow's lecture notes: https://arxiv.org/abs/1409.1231

The last chapter of Eduardo Fradkin's textbook Field Theories of Condensed Matter Physics concerns entanglement in QFTs and gives an introduction to the Calabrese-Cardy approach.

I quite like the Casini-Huerta review linked in the first post. I have not watched these personally, but you can find video lectures by Horacio Casini given at Perimeter Institute here: http://pirsa.org/index.php?p=speaker&name=Horacio_Casini

I have done some research on entanglement in QFTs myself and would be happy to answer any questions you have.

OMG perfect thank you! :D