QFT topics for entanglement entropy

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Discussion Overview

The discussion centers on the Quantum Field Theory (QFT) topics relevant for understanding entanglement entropy, particularly in the context of reading specific papers and literature. Participants seek guidance on which areas of QFT to focus on, including theoretical frameworks and specific references that could aid in their study of entanglement entropy.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant expresses a desire to understand the QFT topics necessary for studying entanglement entropy, mentioning specific papers and books as references.
  • Another participant echoes the request for pointers, suggesting that information theory and statistical mechanics might be relevant.
  • Several participants provide references to lecture notes and textbooks that cover entanglement in QFTs, including works by Tom Hartman, Dan Harlow, and Eduardo Fradkin.
  • One participant mentions having conducted research on entanglement in QFTs and offers to answer questions related to the topic.

Areas of Agreement / Disagreement

Participants generally agree on the need for specific QFT topics to understand entanglement entropy, but there is no consensus on which topics are most critical or how to approach the study.

Contextual Notes

Participants reference various resources and approaches without resolving which are the most effective for enhancing understanding of entanglement entropy in QFT.

Who May Find This Useful

This discussion may be useful for students and researchers interested in the intersection of quantum field theory and entanglement entropy, particularly those looking for guidance on relevant literature and study topics.

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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