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String Theory Methods for Condensed Matter Physics

$64.00 ( ) USD

  • Date Published: September 2017
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9781316853047

$ 64.00 USD ( )
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About the Authors
  • The discovery of a duality between Anti-de Sitter spaces (AdS) and Conformal Field Theories (CFT) has led to major advances in our understanding of quantum field theory and quantum gravity. String theory methods and AdS/CFT correspondence maps provide new ways to think about difficult condensed matter problems. String theory methods based on the AdS/CFT correspondence allow us to transform problems so they have weak interactions and can be solved more easily. They can also help map problems to different descriptions, for instance mapping the description of a fluid using the Navier–Stokes equations to the description of an event horizon of a black hole using Einstein's equations. This textbook covers the applications of string theory methods and the mathematics of AdS/CFT to areas of condensed matter physics. Bridging the gap between string theory and condensed matter, this is a valuable textbook for students and researchers in both fields.

    • The applications of string theory methods to condensed matter physics is a topical subject, and readers will gain understanding of both fields
    • No background knowledge is assumed so readers can come at the topic from different physics backgrounds
    • Gives an overview of most string theory methods used for condensed matter, enabling the reader to start research in the area whether their background is in string theory or condensed matter
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    Reviews & endorsements

    'This book is an excellent reference for students willing to bridge the gap between condensed matter physics and gravity by using holography.' Juan Maldacena, Institute for Advanced Study, New Jersey

    'A nice survey of holographic techniques applied to condensed matter systems. It should provide a smooth entryway to novices desiring to work in this fascinating field.' Diego Trancanelli, Universidade de São Paulo

    'In this, his second book on applied string theory, Nastase gives a wonderfully telescopic account of one of the most exhilarating developments in the field: holographic condensed matter. In 48 chapters, he takes the reader from the very basics of condensed matter and string theory right up to the very latest progress. With a number of well-constructed exercises in addition to detailed computations, it has a little bit for everyone from graduate students of both high energy and condensed matter physics to seasoned researchers looking to expand their horizons.' Jeff Murugan, University of Cape Town

    'The gauge/gravity duality, which arose from studies in string theory in the late 1990s, is one of the most important modern tools to understand the behavior of quantum field theories at strong coupling. This book builds a bridge between the physics of condensed matter systems and the string theory ideas that can be used to understand them better. The book will be very useful both for students of condensed matter physics that want to apply the gauge/gravity duality to their field as well as for string theory students who want to understand better the connections between string theory and condensed matter systems.' David Berenstein, University of California

    'In this ambitious advanced textbook, Horaţiu Năstase, a member of the Institute for Theoretical Physics at the State University of São Paulo, Brazil, aims to introduce graduate students and researchers to the application of string theory to condensed-matter physics. String Theory Methods for Condensed Matter Physics assumes previous graduate coursework in quantum field theory and some knowledge of solid-state physics and general relativity. However, Năstase writes that he intends for the book to be accessible to readers who are just beginning to learn about string theory and its relation to condensed matter. Each chapter includes exercises and a summary of important concepts.' Melinda Baldwin, Physics Today

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    Product details

    • Date Published: September 2017
    • format: Adobe eBook Reader
    • isbn: 9781316853047
    • contains: 48 b/w illus.
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    Preface
    Acknowledgments
    Introduction
    Part I. Condensed Matter Models and Problems:
    1. Lightning review of statistical mechanics, thermodynamics, phases and phase transitions
    2. Magnetism in solids
    3. Electrons in solids: Fermi gas vs. Fermi liquid
    4. Bosonic quasi-particles: phonons and plasmons
    5. Spin-charge separation in 1+1 dimensional solids: spinons and holons
    6. The Ising model and the Heisenberg spin chain
    7. Spin chains and integrable systems
    8. The thermodynamic Bethe ansatz
    9. Conformal field theories and quantum phase transitions
    10. Classical vs. quantum Hall effect
    11. Superconductivity: Landau-Ginzburg, London and BCS
    12. Topology and statistics: Berry and Chern-Simons, anyons and nonabelions
    13. Insulators
    14. The Kondo effect and the Kondo problem
    15. Hydrodynamics and transport properties: from Boltzmann to Navier-Stokes
    Part II. Elements of General Relativity and String Theory:
    16. The Einstein equation and the Schwarzschild solution
    17. The Reissner-Nordstrom and Kerr-Newman solutions and thermodynamic properties of black holes
    18. Extra dimensions and Kaluza-Klein
    19. Electromagnetism and gravity in various dimensions. Consistent truncations
    20. Gravity plus matter: black holes and p-branes in various dimensions
    21. Weak/strong coupling dualities in 1+1, 2+1, 3+1 and d+1 dimensions
    22. The relativistic point particle and the relativistic string
    23. Lightcone strings and quantization
    24. D-branes and gauge fields
    25. Electromagnetic fields on D-branes. Supersymmetry and N = 4 SYM. T-duality of closed strings
    26. Dualities and M theory
    27. The AdS/CFT correspondence: definition and motivation
    Part III. Applying String Theory to Condensed Matter Problems:
    28. The pp wave correspondence: string Hamiltonian from N = 4 SYM
    29. Spin chains from N = 4 SYM
    30. The Bethe ansatz: Bethe strings from classical strings in AdS
    31. Integrability and AdS/CFT
    32. AdS/CFT phenomenology: Lifshitz, Galilean and Schrodinger symmetries and their gravity duals
    33. Finite temperature and black holes
    34. Hot plasma equilibrium thermodynamics: entropy, charge density and chemical potential of strongly coupled theories
    35. Spectral functions and transport properties
    36. Dynamic and nonequilibrium properties of plasmas: electric transport, Langevin diffusion and thermalization via black hole quasi-normal modes
    37. The holographic superconductor
    38. The fluid-gravity correspondence: conformal relativistic fluids from black hole horizons
    39. Nonrelativistic fluids: from Einstein to Navier-Stokes and back
    Part IV. Advanced Applications:
    40. Fermi gas and liquid in AdS/CFT
    41. Quantum Hall effect from string theory
    42. Quantum critical systems and AdS/CFT
    43. Particle-vortex duality and ABJM vs. AdS4 X CP3 duality
    44. Topology and non-standard statistics from AdS/CFT
    45. DBI scalar model for QGP/black hole hydro- and thermo-dynamics
    46. Holographic entanglement entropy in condensed matter
    47. Holographic insulators
    48. Holographic strange metals and the Kondo problem
    References
    Index.

  • Author

    Horatiu Nastase, Universidade Estadual Paulista, São Paulo
    Horatiu Nastase is a Researcher at the Institute for Theoretical Physics at the Universidade Estadual Paulista, São Paulo. To date, his career has spanned four continents. As an undergraduate he studied at Universitatea din București, Romania and University of Copenhagen. He later completed his Ph.D. at the State University of New York, Stony Brook, before moving to the Institute for Advanced Study, Princeton, where his collaboration with David Berenstein and Juan Maldacena defined the pp-wave correspondence. He has also held research and teaching positions at Brown University and the Tokyo Institute of Technology.

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