QFT topics for entanglement entropy

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SUMMARY

To effectively study entanglement entropy in Quantum Field Theory (QFT), focus on key topics such as "Entanglement Entropy and Quantum Field Theory," "Entanglement entropy in free quantum field theory," and "Entanglement entropy: holography and renormalization group." Recommended resources include the book "Quantum Field Theory for the Gifted Amateur" by Blundell, particularly its relevant chapters. Additional valuable references are Tom Hartman's and Dan Harlow's lecture notes, as well as the last chapter of Eduardo Fradkin's textbook on Field Theories of Condensed Matter Physics, which introduces the Calabrese-Cardy approach.

PREREQUISITES
  • Understanding of canonical quantization in Quantum Field Theory
  • Familiarity with concepts of entanglement entropy
  • Knowledge of holography in theoretical physics
  • Basic principles of the renormalization group
NEXT STEPS
  • Study "Quantum Field Theory for the Gifted Amateur" by Blundell, focusing on chapters related to entanglement entropy
  • Review Tom Hartman's lecture notes on entanglement entropy
  • Examine Dan Harlow's lecture notes available on arXiv
  • Explore the Calabrese-Cardy approach through Eduardo Fradkin's textbook
USEFUL FOR

Researchers, graduate students, and theoretical physicists interested in Quantum Field Theory and entanglement entropy, particularly those seeking to deepen their understanding of the interplay between these concepts.

shinobi20
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TL;DR
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.
 
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^^^ i second this question! Would love some pointers. Information theory/stat mech maybe?
 
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.
 
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king vitamin said:
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
 

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