AdS/CFT Correspondence in Condensed Matter

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Author :
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1627053093
Total Pages : 95 pages
Book Rating : 4.6/5 (27 download)

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Book Synopsis AdS/CFT Correspondence in Condensed Matter by : Antonio S.T. Pires

Download or read book AdS/CFT Correspondence in Condensed Matter written by Antonio S.T. Pires and published by Morgan & Claypool Publishers. This book was released on 2014-06-01 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this text is to introduce, in a very elementary way, the concept of anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence to condensed matter physicists. This theory relates a gravity theory in a (d+1)-dimensional anti-de Sitter space

Condensed Matter Applications of AdS/CFT

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Author :
Publisher : Springer
ISBN 13 : 331961875X
Total Pages : 206 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Condensed Matter Applications of AdS/CFT by : Andrea Amoretti

Download or read book Condensed Matter Applications of AdS/CFT written by Andrea Amoretti and published by Springer. This book was released on 2017-07-09 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with applications of the AdS/CFT correspondence to strongly coupled condensed matter systems. In particular, it concerns with the study of thermo-electric transport properties of holographic models exhibiting momentum dissipation and their possible applications to the transport properties of strange metals. The present volume constitutes one of the few examples in the literature in which the topic is carefully reviewed both from the experimental and theoretical point of view, including not only holographic results but also standard condensed matter achievements developed in the past decades. This work might be extremely useful both for scientific and pedagogical purposes.

Introduction to the AdS/CFT Correspondence

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Publisher : Cambridge University Press
ISBN 13 : 1316352307
Total Pages : 457 pages
Book Rating : 4.3/5 (163 download)

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Book Synopsis Introduction to the AdS/CFT Correspondence by : Horaƫiu Năstase

Download or read book Introduction to the AdS/CFT Correspondence written by Horaƫiu Năstase and published by Cambridge University Press. This book was released on 2015-09-10 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing a pedagogical introduction to the rapidly developing field of AdS/CFT correspondence, this is one of the first texts to provide an accessible introduction to all the necessary concepts needed to engage with the methods, tools and applications of AdS/CFT. Without assuming anything beyond an introductory course in quantum field theory, it begins by guiding the reader through the basic concepts of field theory and gauge theory, general relativity, supersymmetry, supergravity, string theory and conformal field theory, before moving on to give a clear and rigorous account of AdS/CFT correspondence. The final section discusses the more specialised applications, including QCD, quark-gluon plasma and condensed matter. This book is self-contained and learner-focused, featuring numerous exercises and examples. It is essential reading for both students and researchers across the fields of particle, nuclear and condensed matter physics.

From Gravity to Thermal Gauge Theories: The AdS/CFT Correspondence

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Publisher : Springer
ISBN 13 : 3642048641
Total Pages : 433 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis From Gravity to Thermal Gauge Theories: The AdS/CFT Correspondence by : Eleftherios Papantonopoulos

Download or read book From Gravity to Thermal Gauge Theories: The AdS/CFT Correspondence written by Eleftherios Papantonopoulos and published by Springer. This book was released on 2011-03-27 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: The AdS/CFT correspondence is a powerful tool in studying strongly coupled phenomena in gauge field theories, using results from a weakly coupled gravity background studied in the realm of string theory. AdS/CFT was first successfully applied to the study of phenomena such as the quark-gluon plasma produced in heavy ions collisions. Soon it was realized that its applicability can be extended, in a more phenomenological approach, to condensed matter systems and to systems described by fluid dynamics. The set of tutorial reviews in this volume is intended as an introduction to and survey of the principle of the AdS/CFT correspondence in its field/string theoretic formulation, its applicability to holographic QCD and to heavy ions collisions, and to give a first account of processes in fluid dynamics and condensed matter physics, which can be studied with the use of this principle. Written by leading researchers in the field and cast into the form of a high-level but approachable multi-author textbook, this volume will be of benefit to all postgraduate students, and newcomers from neighboring disciplines wishing to find a comprehensive guide for their future research.

Gauge/Gravity Duality

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Publisher : Cambridge University Press
ISBN 13 : 1107010349
Total Pages : 549 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Gauge/Gravity Duality by : Martin Ammon

Download or read book Gauge/Gravity Duality written by Martin Ammon and published by Cambridge University Press. This book was released on 2015-04-09 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first textbook on this important topic, for graduate students and researchers in particle and condensed matter physics.

String Theory Methods for Condensed Matter Physics

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Publisher : Cambridge University Press
ISBN 13 : 1316851648
Total Pages : 631 pages
Book Rating : 4.3/5 (168 download)

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Book Synopsis String Theory Methods for Condensed Matter Physics by : Horatiu Nastase

Download or read book String Theory Methods for Condensed Matter Physics written by Horatiu Nastase and published by Cambridge University Press. This book was released on 2017-09-21 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Holographic Duality in Condensed Matter Physics

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Publisher : Cambridge University Press
ISBN 13 : 1107080088
Total Pages : 587 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Holographic Duality in Condensed Matter Physics by : Jan Zaanen

Download or read book Holographic Duality in Condensed Matter Physics written by Jan Zaanen and published by Cambridge University Press. This book was released on 2015-11-05 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: A pioneering treatise presenting how the mathematical techniques of holographic duality can unify the fundamental theories of physics.

AdS/CFT Duality User Guide

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Publisher : Springer
ISBN 13 : 4431554416
Total Pages : 299 pages
Book Rating : 4.4/5 (315 download)

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Book Synopsis AdS/CFT Duality User Guide by : Makoto Natsuume

Download or read book AdS/CFT Duality User Guide written by Makoto Natsuume and published by Springer. This book was released on 2015-04-01 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes applications of the AdS/CFT duality to the "real world." The AdS/CFT duality is an idea that originated from string theory and is a powerful tool for analyzing strongly-coupled gauge theories using classical gravitational theories. In recent years, it has been shown that one prediction of AdS/CFT is indeed close to the experimental result of the real quark–gluon plasma. Since then, the AdS/CFT duality has been applied to various fields of physics; examples are QCD, nuclear physics, condensed-matter physics, and nonequilibrium physics. The aim of this book is to provide background materials such as string theory, black holes, nuclear physics, condensed-matter physics, and nonequilibrium physics as well as key applications of the AdS/CFT duality in a single volume. The emphasis throughout the book is on a pedagogical and intuitive approach focusing on the underlying physical concepts. It also includes step-by-step computations for important results, which are useful for beginners. This book will be a valuable reference work for graduate students and researchers in particle physics, general relativity, nuclear physics, nonequilibrium physics, and condensed-matter physics.

Holographic Quantum Matter

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Publisher : MIT Press
ISBN 13 : 0262348020
Total Pages : 407 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis Holographic Quantum Matter by : Sean A. Hartnoll

Download or read book Holographic Quantum Matter written by Sean A. Hartnoll and published by MIT Press. This book was released on 2018-03-16 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive overview of holographic methods in quantum matter, written by pioneers in the field. This book, written by pioneers in the field, offers a comprehensive overview of holographic methods in quantum matter. It covers influential developments in theoretical physics, making the key concepts accessible to researchers and students in both high energy and condensed matter physics. The book provides a unique combination of theoretical and historical context, technical results, extensive references to the literature, and exercises. It will give readers the ability to understand the important problems in the field, both those that have been solved and those that remain unsolved, and will enable them to engage directly with the current literature. The book describes a particular interface between condensed matter physics, gravitational physics, and string and quantum field theory made possible by holographic duality. The chapters cover such topics as the essential workings of the holographic correspondence; strongly interacting quantum matter at a fixed commensurate density; compressible quantum matter with a variable density; transport in quantum matter; the holographic description of symmetry broken phases; and the relevance of the topics covered to experimental challenges in specific quantum materials. Holographic Quantum Matter promises to be the definitive presentation of this material.

String Theory in a Nutshell

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Publisher : Princeton University Press
ISBN 13 : 0691188963
Total Pages : 883 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis String Theory in a Nutshell by : Elias Kiritsis

Download or read book String Theory in a Nutshell written by Elias Kiritsis and published by Princeton University Press. This book was released on 2019-04-16 with total page 883 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential introduction to modern string theory—now fully expanded and revised String Theory in a Nutshell is the definitive introduction to modern string theory. Written by one of the world’s leading authorities on the subject, this concise and accessible book starts with basic definitions and guides readers from classic topics to the most exciting frontiers of research today. It covers perturbative string theory, the unity of string interactions, black holes and their microscopic entropy, the AdS/CFT correspondence and its applications, matrix model tools for string theory, and more. It also includes 600 exercises and serves as a self-contained guide to the literature. This fully updated edition features an entirely new chapter on flux compactifications in string theory, and the chapter on AdS/CFT has been substantially expanded by adding many applications to diverse topics. In addition, the discussion of conformal field theory has been extensively revised to make it more student-friendly. The essential one-volume reference for students and researchers in theoretical high-energy physics Now fully expanded and revised Provides expanded coverage of AdS/CFT and its applications, namely the holographic renormalization group, holographic theories for Yang-Mills and QCD, nonequilibrium thermal physics, finite density physics, and entanglement entropy Ideal for mathematicians and physicists specializing in theoretical cosmology, QCD, and novel approaches to condensed matter systems An online illustration package is available to professors

A Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics

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Publisher : Morgan & Claypool Publishers
ISBN 13 : 1643273744
Total Pages : 171 pages
Book Rating : 4.6/5 (432 download)

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Book Synopsis A Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics by : Antonio Sergio Teixeira Pires

Download or read book A Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics written by Antonio Sergio Teixeira Pires and published by Morgan & Claypool Publishers. This book was released on 2019-03-21 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last years there have been great advances in the applications of topology and differential geometry to problems in condensed matter physics. Concepts drawn from topology and geometry have become essential to the understanding of several phenomena in the area. Physicists have been creative in producing models for actual physical phenomena which realize mathematically exotic concepts and new phases have been discovered in condensed matter in which topology plays a leading role. An important classification paradigm is the concept of topological order, where the state characterizing a system does not break any symmetry, but it defines a topological phase in the sense that certain fundamental properties change only when the system passes through a quantum phase transition. The main purpose of this book is to provide a brief, self-contained introduction to some mathematical ideas and methods from differential geometry and topology, and to show a few applications in condensed matter. It conveys to physicists the basis for many mathematical concepts, avoiding the detailed formality of most textbooks.

The Oxford Solid State Basics

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Publisher : Oxford University Press
ISBN 13 : 0199680760
Total Pages : 308 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis The Oxford Solid State Basics by : Steven H. Simon

Download or read book The Oxford Solid State Basics written by Steven H. Simon and published by Oxford University Press. This book was released on 2013-06-20 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a first undergraduate textbook in Solid State Physics or Condensed Matter Physics. While most textbooks on the subject are extremely dry, this book is written to be much more exciting, inspiring, and entertaining.

Condensed Matter Field Theory

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Publisher : Cambridge University Press
ISBN 13 : 0521769752
Total Pages : 785 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Condensed Matter Field Theory by : Alexander Altland

Download or read book Condensed Matter Field Theory written by Alexander Altland and published by Cambridge University Press. This book was released on 2010-03-11 with total page 785 pages. Available in PDF, EPUB and Kindle. Book excerpt: This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.

AdS/CFT Correspondence in Condensed Matter

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Author :
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1627053107
Total Pages : 125 pages
Book Rating : 4.6/5 (27 download)

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Book Synopsis AdS/CFT Correspondence in Condensed Matter by : Antonio S.T. Pires

Download or read book AdS/CFT Correspondence in Condensed Matter written by Antonio S.T. Pires and published by Morgan & Claypool Publishers. This book was released on 2014-06-01 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this text is to introduce, in a very elementary way, the concept of anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence to condensed matter physicists. This theory relates a gravity theory in a (d+1)-dimensional anti-de Sitter space

Holographic Entanglement Entropy

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Publisher : Springer
ISBN 13 : 3319525735
Total Pages : 245 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Holographic Entanglement Entropy by : Mukund Rangamani

Download or read book Holographic Entanglement Entropy written by Mukund Rangamani and published by Springer. This book was released on 2017-05-08 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive overview of developments in the field of holographic entanglement entropy. Within the context of the AdS/CFT correspondence, it is shown how quantum entanglement is computed by the area of certain extremal surfaces. The general lessons one can learn from this connection are drawn out for quantum field theories, many-body physics, and quantum gravity. An overview of the necessary background material is provided together with a flavor of the exciting open questions that are currently being discussed. The book is divided into four main parts. In the first part, the concept of entanglement, and methods for computing it, in quantum field theories is reviewed. In the second part, an overview of the AdS/CFT correspondence is given and the holographic entanglement entropy prescription is explained. In the third part, the time-dependence of entanglement entropy in out-of-equilibrium systems, and applications to many body physics are explored using holographic methods. The last part focuses on the connection between entanglement and geometry. Known constraints on the holographic map, as well as, elaboration of entanglement being a fundamental building block of geometry are explained. The book is a useful resource for researchers and graduate students interested in string theory and holography, condensed matter and quantum information, as it tries to connect these different subjects linked by the common theme of quantum entanglement.

Markov Chain Monte Carlo Methods in Quantum Field Theories

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Publisher : Springer Nature
ISBN 13 : 3030460444
Total Pages : 134 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Markov Chain Monte Carlo Methods in Quantum Field Theories by : Anosh Joseph

Download or read book Markov Chain Monte Carlo Methods in Quantum Field Theories written by Anosh Joseph and published by Springer Nature. This book was released on 2020-04-16 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: This primer is a comprehensive collection of analytical and numerical techniques that can be used to extract the non-perturbative physics of quantum field theories. The intriguing connection between Euclidean Quantum Field Theories (QFTs) and statistical mechanics can be used to apply Markov Chain Monte Carlo (MCMC) methods to investigate strongly coupled QFTs. The overwhelming amount of reliable results coming from the field of lattice quantum chromodynamics stands out as an excellent example of MCMC methods in QFTs in action. MCMC methods have revealed the non-perturbative phase structures, symmetry breaking, and bound states of particles in QFTs. The applications also resulted in new outcomes due to cross-fertilization with research areas such as AdS/CFT correspondence in string theory and condensed matter physics. The book is aimed at advanced undergraduate students and graduate students in physics and applied mathematics, and researchers in MCMC simulations and QFTs. At the end of this book the reader will be able to apply the techniques learned to produce more independent and novel research in the field.

Strongly Interacting Matter in Magnetic Fields

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Publisher : Springer
ISBN 13 : 3642373054
Total Pages : 630 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Strongly Interacting Matter in Magnetic Fields by : Dmitri Kharzeev

Download or read book Strongly Interacting Matter in Magnetic Fields written by Dmitri Kharzeev and published by Springer. This book was released on 2014-07-08 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: The physics of strongly interacting matter in an external magnetic field is presently emerging as a topic of great cross-disciplinary interest for particle, nuclear, astro- and condensed matter physicists. It is known that strong magnetic fields are created in heavy ion collisions, an insight that has made it possible to study a variety of surprising and intriguing phenomena that emerge from the interplay of quantum anomalies, the topology of non-Abelian gauge fields, and the magnetic field. In particular, the non-trivial topological configurations of the gluon field induce a non-dissipative electric current in the presence of a magnetic field. These phenomena have led to an extended formulation of relativistic hydrodynamics, called chiral magnetohydrodynamics. Hitherto unexpected applications in condensed matter physics include graphene and topological insulators. Other fields of application include astrophysics, where strong magnetic fields exist in magnetars and pulsars. Last but not least, an important new theoretical tool that will be revisited and which made much of the progress surveyed in this book possible is the holographic principle - the correspondence between quantum field theory and gravity in extra dimensions. Edited and authored by the pioneers and leading experts in this newly emerging field, this book offers a valuable resource for a broad community of physicists and graduate students.