Field Theory Topology And Condensed Matter Physics

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Field Theories of Condensed Matter Physics

Eduardo Fradkin
Field Theories of Condensed Matter Physics Book PDF

Author : Eduardo Fradkin
Publisher : Cambridge University Press
Page : 855 pages
File Size : 50,7 Mb
Release : 2013-02-28
Category : Science
ISBN : 9780521764445

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Field Theories of Condensed Matter Physics by Eduardo Fradkin Pdf

Presenting the physics of the most challenging problems in condensed matter using the conceptual framework of quantum field theory, this book is of great interest to physicists in condensed matter and high energy and string theorists, as well as mathematicians. Revised and updated, this second edition features new chapters on the renormalization group, the Luttinger liquid, gauge theory, topological fluids, topological insulators and quantum entanglement. The book begins with the basic concepts and tools, developing them gradually to bring readers to the issues currently faced at the frontiers of research, such as topological phases of matter, quantum and classical critical phenomena, quantum Hall effects and superconductors. Other topics covered include one-dimensional strongly correlated systems, quantum ordered and disordered phases, topological structures in condensed matter and in field theory and fractional statistics.

Field Theory, Topology and Condensed Matter Physics

Hendrik B. Geyer
Field Theory Topology and Condensed Matter Physics Book PDF

Author : Hendrik B. Geyer
Publisher : Springer
Page : 232 pages
File Size : 50,6 Mb
Release : 1995-08-18
Category : Mathematics
ISBN : UOM:39015034924038

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Field Theory, Topology and Condensed Matter Physics by Hendrik B. Geyer Pdf

This topical volume contains five pedagogically written articles on the interplay between field theory and condensed matter physics. The main emphasis is on the topological aspects, and especially quantum Hall fluids, and superconductivity is treated extensively. Other topics are conformal invariance and path integrals. The articles are carefully edited so that the book could ideally serve as a text for special graduate courses.

Quantum Field Theory and Topology

Albert S. Schwarz
Quantum Field Theory and Topology Book PDF

Author : Albert S. Schwarz
Publisher : Springer Science & Business Media
Page : 277 pages
File Size : 54,7 Mb
Release : 2013-04-09
Category : Mathematics
ISBN : 9783662029435

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Quantum Field Theory and Topology by Albert S. Schwarz Pdf

In recent years topology has firmly established itself as an important part of the physicist's mathematical arsenal. It has many applications, first of all in quantum field theory, but increasingly also in other areas of physics. The main focus of this book is on the results of quantum field theory that are obtained by topological methods. Some aspects of the theory of condensed matter are also discussed. Part I is an introduction to quantum field theory: it discusses the basic Lagrangians used in the theory of elementary particles. Part II is devoted to the applications of topology to quantum field theory. Part III covers the necessary mathematical background in summary form. The book is aimed at physicists interested in applications of topology to physics and at mathematicians wishing to familiarize themselves with quantum field theory and the mathematical methods used in this field. It is accessible to graduate students in physics and mathematics.

Condensed Matter Field Theory

Alexander Altland,Ben D. Simons
Condensed Matter Field Theory Book PDF

Author : Alexander Altland,Ben D. Simons
Publisher : Cambridge University Press
Page : 785 pages
File Size : 41,9 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.

Field Theory, Topology and Condensed Matter Physics

Hendrik B. Geyer
Field Theory Topology and Condensed Matter Physics Book PDF

Author : Hendrik B. Geyer
Publisher : Springer
Page : 232 pages
File Size : 48,7 Mb
Release : 1995-08-18
Category : Mathematics
ISBN : UOM:39015034924038

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Field Theory, Topology and Condensed Matter Physics by Hendrik B. Geyer Pdf

This topical volume contains five pedagogically written articles on the interplay between field theory and condensed matter physics. The main emphasis is on the topological aspects, and especially quantum Hall fluids, and superconductivity is treated extensively. Other topics are conformal invariance and path integrals. The articles are carefully edited so that the book could ideally serve as a text for special graduate courses.

Quantum Field Theory in Condensed Matter Physics

Alexei M. Tsvelik
Quantum Field Theory in Condensed Matter Physics Book PDF

Author : Alexei M. Tsvelik
Publisher : Cambridge University Press
Page : 361 pages
File Size : 43,7 Mb
Release : 2007-01-18
Category : Science
ISBN : 0521529808

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Quantum Field Theory in Condensed Matter Physics by Alexei M. Tsvelik Pdf

A new edition of a successful advanced text in condensed matter physics.

Condensed Matter Field Theory

Alexander Altland,Ben D. Simons
Condensed Matter Field Theory Book PDF

Author : Alexander Altland,Ben D. Simons
Publisher : Cambridge University Press
Page : 785 pages
File Size : 40,6 Mb
Release : 2010-03-11
Category : Science
ISBN : 9781139485135

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

Modern experimental developments in condensed matter and ultracold atom physics present formidable challenges to theorists. This book provides a pedagogical introduction to quantum field theory in many-particle physics, emphasizing the applicability of the formalism to concrete problems. This second edition contains two new chapters developing path integral approaches to classical and quantum nonequilibrium phenomena. Other chapters cover a range of topics, from the introduction of many-body techniques and functional integration, to renormalization group methods, the theory of response functions, and topology. Conceptual aspects and formal methodology are emphasized, but the discussion focuses on practical experimental applications drawn largely from condensed matter physics and neighboring fields. Extended and challenging problems with fully worked solutions provide a bridge between formal manipulations and research-oriented thinking. Aimed at elevating graduate students to a level where they can engage in independent research, this book complements graduate level courses on many-particle theory.

Topology in Condensed Matter

Michael I. Monastyrsky
Topology in Condensed Matter Book PDF

Author : Michael I. Monastyrsky
Publisher : Springer Science & Business Media
Page : 263 pages
File Size : 46,6 Mb
Release : 2006-02-04
Category : Science
ISBN : 9783540312642

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Topology in Condensed Matter by Michael I. Monastyrsky Pdf

This book reports new results in condensed matter physics for which topological methods and ideas are important. It considers, on the one hand, recently discovered systems such as carbon nanocrystals and, on the other hand, new topological methods used to describe more traditional systems such as the Fermi surfaces of normal metals, liquid crystals and quasicrystals. The authors of the book are renowned specialists in their fields and present the results of ongoing research, some of it obtained only very recently and not yet published in monograph form.

Field Theories in Condensed Matter Physics

Sumathi Rao
Field Theories in Condensed Matter Physics Book PDF

Author : Sumathi Rao
Publisher : CRC Press
Page : 176 pages
File Size : 48,8 Mb
Release : 2019-04-24
Category : Science
ISBN : 9780429530395

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Field Theories in Condensed Matter Physics by Sumathi Rao Pdf

The application of field theoretic techniques to problems in condensed matter physics has generated an array of concepts and mathematical techniques to attack a range of problems such as the theory of quantum phase transitions, the quantum Hall effect, and quantum wires. While concepts such as the renormalization group, topology, and bosonization h

Topology of Gauge Fields and Condensed Matter

M. Monastyrsky
Topology of Gauge Fields and Condensed Matter Book PDF

Author : M. Monastyrsky
Publisher : Springer Science & Business Media
Page : 372 pages
File Size : 53,9 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781489924032

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Topology of Gauge Fields and Condensed Matter by M. Monastyrsky Pdf

''Intended mainly for physicists and mathematicians...its high quality will definitely attract a wider audience.'' ---Computational Mathematics and Mathematical Physics This work acquaints the physicist with the mathematical principles of algebraic topology, group theory, and differential geometry, as applicable to research in field theory and the theory of condensed matter. Emphasis is placed on the topological structure of monopole and instanton solution to the Yang-Mills equations, the description of phases in superfluid 3He, and the topology of singular solutions in 3He and liquid crystals.

Field Theories in Condensed Matter Physics

Sumathi Rao
Field Theories in Condensed Matter Physics Book PDF

Author : Sumathi Rao
Publisher : CRC Press
Page : 432 pages
File Size : 54,5 Mb
Release : 2019-04-24
Category : Science
ISBN : 9781482289541

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Field Theories in Condensed Matter Physics by Sumathi Rao Pdf

The application of field theoretic techniques to problems in condensed matter physics has generated an array of concepts and mathematical techniques to attack a range of problems such as the theory of quantum phase transitions, the quantum Hall effect, and quantum wires. While concepts such as the renormalization group, topology, and bosonization h

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

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

Author : Antonio Sergio Teixeira Pires
Publisher : Morgan & Claypool Publishers
Page : 171 pages
File Size : 43,8 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.

Quantum Field Theory and Condensed Matter

Ramamurti Shankar
Quantum Field Theory and Condensed Matter Book PDF

Author : Ramamurti Shankar
Publisher : Unknown
Page : 537 pages
File Size : 44,6 Mb
Release : 2017
Category : Condensed matter
ISBN : 9781108363464

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Quantum Field Theory and Condensed Matter by Ramamurti Shankar Pdf

Providing a broad review of many techniques and their application to condensed matter systems, this book begins with a review of thermodynamics and statistical mechanics, before moving onto real and imaginary time path integrals and the link between Euclidean quantum mechanics and statistical mechanics. A detailed study of the Ising, gauge-Ising and XY models is included. The renormalization group is developed and applied to critical phenomena, Fermi liquid theory and the renormalization of field theories. Next, the book explores bosonization and its applications to one-dimensional fermionic systems and the correlation functions of homogeneous and random-bond Ising models. It concludes with Bohm-Pines and Chern-Simons theories applied to the quantum Hall effect. Introducing the reader to a variety of techniques, it opens up vast areas of condensed matter theory for both graduate students and researchers in theoretical, statistical and condensed matter physics.

Topology and Condensed Matter Physics

Somendra Mohan Bhattacharjee,Mahan Mj,Abhijit Bandyopadhyay
Topology and Condensed Matter Physics Book PDF

Author : Somendra Mohan Bhattacharjee,Mahan Mj,Abhijit Bandyopadhyay
Publisher : Springer
Page : 507 pages
File Size : 49,5 Mb
Release : 2017-12-20
Category : Science
ISBN : 9789811068416

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Topology and Condensed Matter Physics by Somendra Mohan Bhattacharjee,Mahan Mj,Abhijit Bandyopadhyay Pdf

This book introduces aspects of topology and applications to problems in condensed matter physics. Basic topics in mathematics have been introduced in a form accessible to physicists, and the use of topology in quantum, statistical and solid state physics has been developed with an emphasis on pedagogy. The aim is to bridge the language barrier between physics and mathematics, as well as the different specializations in physics. Pitched at the level of a graduate student of physics, this book does not assume any additional knowledge of mathematics or physics. It is therefore suited for advanced postgraduate students as well. A collection of selected problems will help the reader learn the topics on one's own, and the broad range of topics covered will make the text a valuable resource for practising researchers in the field. The book consists of two parts: one corresponds to developing the necessary mathematics and the other discusses applications to physical problems. The section on mathematics is a quick, but more-or-less complete, review of topology. The focus is on explaining fundamental concepts rather than dwelling on details of proofs while retaining the mathematical flavour. There is an overview chapter at the beginning and a recapitulation chapter on group theory. The physics section starts with an introduction and then goes on to topics in quantum mechanics, statistical mechanics of polymers, knots, and vertex models, solid state physics, exotic excitations such as Dirac quasiparticles, Majorana modes, Abelian and non-Abelian anyons. Quantum spin liquids and quantum information-processing are also covered in some detail.

Quantum Field Theory

Eduardo Fradkin
Quantum Field Theory Book PDF

Author : Eduardo Fradkin
Publisher : Princeton University Press
Page : 754 pages
File Size : 46,6 Mb
Release : 2021-03-23
Category : Science
ISBN : 9780691149080

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Quantum Field Theory by Eduardo Fradkin Pdf

"Quantum field theory is the mathematical and conceptual framework that describes the physics of the very small, including subatomic particles and quasiparticles. It is used to address a range of problems across subfields, from high-energy physics and gravitation to statistical physics and condensed matter physics. Despite the breadth of its applications, however, the teaching of quantum field theory has historically been strongly oriented toward high-energy physics students, while others-particularly in condensed matter and statistical physics-are typically taught in a separate course, or take an alternate sequence in many-body and statistical physics. Author Eduardo Fradkin strongly believes that this separation is both artificial and detrimental to all groups' understanding of quantum field theory. This textbook, developed from a graduate course Fradkin has taught for decades at the University of Illinois, offers a new, "multicultural" approach to the subject that seeks to remedy this fragmentation. It covers both basic techniques and topics at the frontiers of current research, and integrates modern concepts and examples from high-energy, statistical, and condensed-matter physics alike. Extensive problem sets further illustrate applications across a range of subfields. The book will be suitable for students across physical subdisciplines who have mastered graduate-level quantum mechanics, and will be a useful reference for researchers"--