Entanglement Entropy and Non-relativistic Systems in the AdS/CFT correspondence

  1. Fuertes Pascual, Carlos Alberto
Supervised by:
  1. José Luis Fernández Barbón Director

Defence university: Universidad Autónoma de Madrid

Fecha de defensa: 19 June 2009

Committee:
  1. Enrique Álvarez Vázquez Chair
  2. Karl Landsteiner Secretary
  3. Javier Mas Solé Committee member
  4. Miguel Ángel Vázquez Mozo Committee member
  5. Mukund Rangamani Committee member

Type: Thesis

Teseo: 304562 DIALNET lock_openBiblos-e Archivo editor

Abstract

Entanglement Entropy In this chapter we will introduce the concept of entanglement entropy and its uses in the context of quantum field theory (QFT) as well as a prescription to compute it in holographic duals of QFTs. We will mainly review results available in the literature. In the first section we will give a general overview of entanglement entropy. Then we will focus of how to compute it and what is known about it in QFT. These results apply to (conformal) theories in 1+1 dimensions and free theories in higher dimensions. Then we will present a prescription to calculate the entanglement entropy from holographic duals, expanding much more what can be learnt in interacting theories. We will present the evidence in favor of this holographic ansatz as well as the results one obtains for (strongly interacting) conformal field theories in arbitrary dimension.