Time evolution of holographic observables

• Autores: Joao López
• Directores de la Tesis: Esperanza Lopéz Manzanares (dir. tes.)
• Lectura: En la Universidad Autónoma de Madrid ( España ) en 2013
• Idioma: inglés
• Tribunal Calificador de la Tesis: Germán Sierra Rodero (presid.), José Luis Fernández Barbón (secret.), Oscar Dias (voc.), Erik Tonni (voc.), Javier Mas Solé (voc.)
• Materias:
  • Física
• Enlaces
  • Tesis en acceso abierto en: Biblos-e Archivo
• Resumen

  • In this work we study quantum quenches in the context of the Anti-de Sitter/Conformal Field Theory (AdS/CFT) conjecture. In ``Motivation'' we introduce the subject of AdS/CFT as well as talk about the motivation to some classes of open questions in AdS/CFT. One such question is ``What is the gravitational dual to a quantum quench in a field theory?'' We also present previous attempts to answer this question. In Chapter 2 we recall known solutions which are asymptotically AdS 3 in pure Einstein gravity, and compute space-like geodesic lengths in those spaces. In Chapter 3 we present our model, explain how to compute the relevant observable there in a holographic way and discuss and interpret the results and compare them with the relevant CFT calculations in the literature. In Chapter 4 we treat the fast-quench limit of our model and compute general space-like 2-point functions there, thus in some sense generalizing the previous Chapter. In Chapter 5, we present a new algorithm which we use to obtain new Einstein-dilaton gravity (EDG) solutions. Lastly, we make a summary of the conclusions of this work and present an outlook.

    Palabras clave: Entanglent entropy, quantum quench, ads, cft, einstein-dilaton