Condensed Matter Applications Of Ads Cft

Author : Andrea Amoretti
Publisher : Springer
Page : 199 pages
File Size : 53,5 Mb
Release : 2017-07-09
Category : Technology & Engineering
ISBN : 9783319618753

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Condensed Matter Applications of AdS/CFT by Andrea Amoretti Pdf

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.

Author : Antonio S.T. Pires
Publisher : Morgan & Claypool Publishers
Page : 125 pages
File Size : 41,8 Mb
Release : 2014-06-01
Category : Science
ISBN : 9781627053105

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AdS/CFT Correspondence in Condensed Matter by Antonio S.T. Pires Pdf

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

Author : Horatiu Nastase
Publisher : Cambridge University Press
Page : 631 pages
File Size : 47,6 Mb
Release : 2017-09-21
Category : Science
ISBN : 9781107180383

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String Theory Methods for Condensed Matter Physics by Horatiu Nastase Pdf

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.

Author : Horaƫiu Năstase
Publisher : Cambridge University Press
Page : 457 pages
File Size : 55,9 Mb
Release : 2015-09-10
Category : Science
ISBN : 9781107085855

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Introduction to AdS/CFT Correspondence by Horaƫiu Năstase Pdf

A pedagogical and self-contained introduction to AdS/CFT correspondence aimed at graduate students and researchers across theoretical physics.

Author : Makoto Natsuume
Publisher : Springer
Page : 294 pages
File Size : 50,8 Mb
Release : 2015-04-01
Category : Science
ISBN : 9784431554417

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AdS/CFT Duality User Guide by Makoto Natsuume Pdf

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.

Author : Martin Ammon,Johanna Erdmenger
Publisher : Cambridge University Press
Page : 549 pages
File Size : 45,7 Mb
Release : 2015-04-09
Category : Juvenile Nonfiction
ISBN : 9781107010345

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Gauge/Gravity Duality by Martin Ammon,Johanna Erdmenger Pdf

The first textbook on this important topic, for graduate students and researchers in particle and condensed matter physics.

Author : Eleftherios Papantonopoulos
Publisher : Springer Science & Business Media
Page : 433 pages
File Size : 51,7 Mb
Release : 2011-03-26
Category : Science
ISBN : 9783642048630

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

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.

Author : Antonio S.T. Pires
Publisher : Morgan & Claypool Publishers
Page : 95 pages
File Size : 48,9 Mb
Release : 2014-06-01
Category : Science
ISBN : 9781627053099

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AdS/CFT Correspondence in Condensed Matter by Antonio S.T. Pires Pdf

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

Author : Jan Zaanen,Yan Liu (fizyka),Ya-Wen Sun,Koenraad Schalm
Publisher : Cambridge University Press
Page : 587 pages
File Size : 53,5 Mb
Release : 2015-11-05
Category : Science
ISBN : 9781107080089

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Holographic Duality in Condensed Matter Physics by Jan Zaanen,Yan Liu (fizyka),Ya-Wen Sun,Koenraad Schalm Pdf

A pioneering treatise presenting how the mathematical techniques of holographic duality can unify the fundamental theories of physics.

Author : Horațiu Năstase
Publisher : Unknown
Page : 128 pages
File Size : 41,7 Mb
Release : 2015
Category : Gauge fields (Physics)
ISBN : 1316090957

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Introduction to the AdS/CFT Correspondence by Horațiu Năstase Pdf

Author : Sean A. Hartnoll,Andrew Lucas,Subir Sachdev
Publisher : MIT Press
Page : 408 pages
File Size : 48,6 Mb
Release : 2018-03-16
Category : Science
ISBN : 9780262348027

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Holographic Quantum Matter by Sean A. Hartnoll,Andrew Lucas,Subir Sachdev Pdf

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.

Author : Alexander Altland,Ben D. Simons
Publisher : Cambridge University Press
Page : 785 pages
File Size : 46,9 Mb
Release : 2010-03-11
Category : Science
ISBN : 9780521769754

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Condensed Matter Field Theory by Alexander Altland,Ben D. Simons Pdf

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.

Author : Elias Kiritsis
Publisher : Princeton University Press
Page : 888 pages
File Size : 51,5 Mb
Release : 2019-04-16
Category : Science
ISBN : 9780691188966

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String Theory in a Nutshell by Elias Kiritsis Pdf

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

Author : Antonio Sergio Teixeira Pires
Publisher : Morgan & Claypool Publishers
Page : 171 pages
File Size : 55,7 Mb
Release : 2019-03-21
Category : Science
ISBN : 9781643273747

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

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.

Author : Mukund Rangamani,Tadashi Takayanagi
Publisher : Springer
Page : 246 pages
File Size : 46,8 Mb
Release : 2017-05-08
Category : Science
ISBN : 9783319525730

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Holographic Entanglement Entropy by Mukund Rangamani,Tadashi Takayanagi Pdf

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.