String Theory Methods for Condensed Matter Physics
$105.00 USD
- Author: Horatiu Nastase, Universidade Estadual Paulista, São Paulo
- 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
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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.
Read more- 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
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
See more reviews'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.
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