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Applications of the Gauge/Gravity Duality

  • Jonas┬áProbst

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Jonas Probst
    Pages 1-4
  3. Jonas Probst
    Pages 21-36
  4. Jonas Probst
    Pages 79-122
  5. Jonas Probst
    Pages 123-124
  6. Back Matter
    Pages 125-141

About this book

Introduction

This book begins with a pedagogical introduction to how duality can be used to extract transport properties of quantum systems from their gravity dual. It then presents new results on hydrodynamic transport in strongly interacting quantum fluids and provides strong evidence that the Haack-Yarom identity between second-order transport coefficients holds for all fluids with a classical gravity dual and may be a universal feature of all strongly coupled quantum fluids such as the quark-gluon plasma (QGP). Many open questions in theoretical physics pertain to strongly interacting quantum systems such as the quark-gluon plasma (QGP) produced in heavy-ion collisions or the strange-metal phase observed in many high-temperature superconductors. These systems are notoriously difficult to study using traditional methods such as perturbation theory, but the gauge/gravity duality offers a successful alternative approach, which maps strongly interacting quantum gauge theories to computationally tractable, classical gravity theories. Newly derived Kubo formulae, expressing transport coefficients in terms of quantum correlators, hold independently of the duality. Lastly, the book discusses new findings on magnetic impurities in strongly correlated metals, including the first dual gravity description of an inter-impurity coupling, crucial for the quantum criticality underlying the strange metal phase.

Keywords

AdS/CFT Correspondence Gauge/gravity Duality Holographic Principle Holographic Renormalisation Group Hydrodynamic Transport Fluid/gravity Correspondence Kubo Formula Kondo Model Anti-de Sitter Space Correlation Functions

Authors and affiliations

  • Jonas┬áProbst
    • 1
  1. 1.University of OxfordOxfordUnited Kingdom

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-93967-4
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2018
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-93966-7
  • Online ISBN 978-3-319-93967-4
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
  • Buy this book on publisher's site