Topological And Quantum Group Methods In Field Theory And Condensed Matter Physics

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Quantum Field Theory and Condensed Matter

Author : Ramamurti Shankar
Publisher : Cambridge University Press
ISBN 13 : 1108363989
Total Pages : 557 pages
Book Rating : 4.1/5 (83 download)

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Book Synopsis Quantum Field Theory and Condensed Matter by : Ramamurti Shankar

Download or read book Quantum Field Theory and Condensed Matter written by Ramamurti Shankar and published by Cambridge University Press. This book was released on 2017-08-31 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Topological and Quantum Group Methods in Field Theory and Condensed Matter Physics

Author : Maurizio Martellini
Publisher :
ISBN 13 :
Total Pages : 1072 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Topological and Quantum Group Methods in Field Theory and Condensed Matter Physics by : Maurizio Martellini

Download or read book Topological and Quantum Group Methods in Field Theory and Condensed Matter Physics written by Maurizio Martellini and published by . This book was released on 1992 with total page 1072 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Field Theory of Many-Body Systems

Author : Xiao-Gang Wen
Publisher : OUP Oxford
ISBN 13 : 0191523968
Total Pages : 520 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Quantum Field Theory of Many-Body Systems by : Xiao-Gang Wen

Download or read book Quantum Field Theory of Many-Body Systems written by Xiao-Gang Wen and published by OUP Oxford. This book was released on 2004-06-04 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: For most of the last century, condensed matter physics has been dominated by band theory and Landau's symmetry breaking theory. In the last twenty years, however, there has been the emergence of a new paradigm associated with fractionalisation, topological order, emergent gauge bosons and fermions, and string condensation. These new physical concepts are so fundamental that they may even influence our understanding of the origin of light and fermions in the universe. This book is a pedagogical and systematic introduction to the new concepts and quantum field theoretical methods (which have fuelled the rapid developments) in condensed matter physics. It discusses many basic notions in theoretical physics which underlie physical phenomena in nature. Topics covered are dissipative quantum systems, boson condensation, symmetry breaking and gapless excitations, phase transitions, Fermi liquids, spin density wave states, Fermi and fractional statistics, quantum Hall effects, topological and quantum order, spin liquids, and string condensation. Methods covered are the path integral, Green's functions, mean-field theory, effective theory, renormalization group, bosonization in one- and higher dimensions, non-linear sigma-model, quantum gauge theory, dualities, slave-boson theory, and exactly soluble models beyond one-dimension. This book is aimed at teaching graduate students and bringing them to the frontiers of research in condensed matter physics.

Condensed Matter Field Theory

Author : Alexander Altland
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.

Quantum Field Theory and Topology

Author : Albert S. Schwarz
Publisher : Springer Science & Business Media
ISBN 13 : 366202943X
Total Pages : 277 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Quantum Field Theory and Topology by : Albert S. Schwarz

Download or read book Quantum Field Theory and Topology written by Albert S. Schwarz and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Field Theories in Condensed Matter Physics

Author : Sumathi Rao
Publisher : CRC Press
ISBN 13 : 0429530390
Total Pages : 176 pages
Book Rating : 4.4/5 (295 download)

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Book Synopsis Field Theories in Condensed Matter Physics by : Sumathi Rao

Download or read book Field Theories in Condensed Matter Physics written by Sumathi Rao and published by CRC Press. This book was released on 2019-04-24 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Advanced Quantum Condensed Matter Physics

Author : Michael El-Batanouny
Publisher : Cambridge University Press
ISBN 13 : 1108480845
Total Pages : 839 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Advanced Quantum Condensed Matter Physics by : Michael El-Batanouny

Download or read book Advanced Quantum Condensed Matter Physics written by Michael El-Batanouny and published by Cambridge University Press. This book was released on 2020-03-26 with total page 839 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on an established course, this comprehensive textbook on advanced quantum condensed matter physics covers one-body, many-body and topological perspectives. Discussing modern topics and containing end-of-chapter exercises throughout, it is ideal for graduate students studying advanced condensed matter physics.

Field Theories of Condensed Matter Physics

Author : Eduardo Fradkin
Publisher : Cambridge University Press
ISBN 13 : 0521764440
Total Pages : 855 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Field Theories of Condensed Matter Physics by : Eduardo Fradkin

Download or read book Field Theories of Condensed Matter Physics written by Eduardo Fradkin and published by Cambridge University Press. This book was released on 2013-02-28 with total page 855 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Many-Body Quantum Theory in Condensed Matter Physics

Author : Henrik Bruus
Publisher : Oxford University Press
ISBN 13 : 0198566336
Total Pages : 458 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Many-Body Quantum Theory in Condensed Matter Physics by : Henrik Bruus

Download or read book Many-Body Quantum Theory in Condensed Matter Physics written by Henrik Bruus and published by Oxford University Press. This book was released on 2004-09-02 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is an introduction to quantum field theory applied to condensed matter physics. The topics cover modern applications in electron systems and electronic properties of mesoscopic systems and nanosystems. The textbook is developed for a graduate or advanced undergraduate course with exercises which aim at giving students the ability to confront real problems.

Quantum Field Theory Approach to Condensed Matter Physics

Author : Eduardo C. Marino
Publisher : Cambridge University Press
ISBN 13 : 1108508855
Total Pages : 537 pages
Book Rating : 4.1/5 (85 download)

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Book Synopsis Quantum Field Theory Approach to Condensed Matter Physics by : Eduardo C. Marino

Download or read book Quantum Field Theory Approach to Condensed Matter Physics written by Eduardo C. Marino and published by Cambridge University Press. This book was released on 2017-09-28 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: A balanced combination of introductory and advanced topics provides a new and unique perspective on the quantum field theory approach to condensed matter physics. Beginning with the basics of these subjects, such as static and vibrating lattices, independent and interacting electrons, the functional formulation for fields and different generating functionals and their roles, this book presents a unified viewpoint illustrating the connections and relationships among various physical concepts and mechanisms. Advanced and newer topics bring the book up to date with current developments and include sections on cuprate and pnictide superconductors, graphene, Weyl semimetals, transition metal dichalcogenides and topological insulators. Finally, well-known subjects such as the quantum Hall effect, superconductivity, Mott and Anderson insulators, and the Anderson–Higgs mechanism are examined within a unifying QFT-CMP approach. Presenting new insights on traditional topics, this text allows graduate students and researchers to master the proper theoretical tools required in a variety of condensed matter physics systems.

String Theory Methods for Condensed Matter Physics

Author : Horatiu Nastase
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.

Quantum Field Theory And Condensed Matter Physics: Proceedings Of The 4th Trieste Conference

Author : Seifallah Randjbar-daemi
Publisher : World Scientific
ISBN 13 : 9814552097
Total Pages : 150 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Quantum Field Theory And Condensed Matter Physics: Proceedings Of The 4th Trieste Conference by : Seifallah Randjbar-daemi

Download or read book Quantum Field Theory And Condensed Matter Physics: Proceedings Of The 4th Trieste Conference written by Seifallah Randjbar-daemi and published by World Scientific. This book was released on 1994-03-29 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this interdisciplinary conference was to bring together experts in quantum field theory and condensed matter physics to survey the latest exciting developments in this border-line field, such as the Chern-Simons field theory and quantum hall effect, anyon superconductivity, Yang-Baxter equations and quantum groups, conformal field theory and multi-channel kondo effect, matrix models and quantum gravity, etc.This set of proceedings contains brief reviews contributed by leading experts in the field.

Quantum Theory of Many-Particle Systems

Author : Alexander L. Fetter
Publisher : Courier Corporation
ISBN 13 : 048613475X
Total Pages : 626 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Quantum Theory of Many-Particle Systems by : Alexander L. Fetter

Download or read book Quantum Theory of Many-Particle Systems written by Alexander L. Fetter and published by Courier Corporation. This book was released on 2012-03-08 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-contained treatment of nonrelativistic many-particle systems discusses both formalism and applications in terms of ground-state (zero-temperature) formalism, finite-temperature formalism, canonical transformations, and applications to physical systems. 1971 edition.

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

Author : Antonio Sergio Teixeira Pires
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.

Group Theoretical Methods In Physics - Proceedings Of The Yamada Conference Xl And Xx International Colloquium

Author : Tohru Eguchi
Publisher : World Scientific
ISBN 13 : 9814549908
Total Pages : 546 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Group Theoretical Methods In Physics - Proceedings Of The Yamada Conference Xl And Xx International Colloquium by : Tohru Eguchi

Download or read book Group Theoretical Methods In Physics - Proceedings Of The Yamada Conference Xl And Xx International Colloquium written by Tohru Eguchi and published by World Scientific. This book was released on 1995-05-11 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topics discussed in this volume are: Symmetry and Foundations in Classical and Quantum Mechanics; Geometry, Topology and Quantum Field Theory; Quantum Groups and Infinite-Dimensional Lie Algebras; Algebraic Approach to Nuclear Structure; Integrable Statistical Systems and Theory of Critical Phenomena Supersymmetry; Atomic and Molecular Physics; Condensed Matter Physics; Other Applications of Group Theory to Physics.

Lectures on Field Theory and Topology

Author : Daniel S. Freed
Publisher : American Mathematical Soc.
ISBN 13 : 1470452065
Total Pages : 202 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Lectures on Field Theory and Topology by : Daniel S. Freed

Download or read book Lectures on Field Theory and Topology written by Daniel S. Freed and published by American Mathematical Soc.. This book was released on 2019-08-23 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lectures recount an application of stable homotopy theory to a concrete problem in low energy physics: the classification of special phases of matter. While the joint work of the author and Michael Hopkins is a focal point, a general geometric frame of reference on quantum field theory is emphasized. Early lectures describe the geometric axiom systems introduced by Graeme Segal and Michael Atiyah in the late 1980s, as well as subsequent extensions. This material provides an entry point for mathematicians to delve into quantum field theory. Classification theorems in low dimensions are proved to illustrate the framework. The later lectures turn to more specialized topics in field theory, including the relationship between invertible field theories and stable homotopy theory, extended unitarity, anomalies, and relativistic free fermion systems. The accompanying mathematical explanations touch upon (higher) category theory, duals to the sphere spectrum, equivariant spectra, differential cohomology, and Dirac operators. The outcome of computations made using the Adams spectral sequence is presented and compared to results in the condensed matter literature obtained by very different means. The general perspectives and specific applications fuse into a compelling story at the interface of contemporary mathematics and theoretical physics.

Geometric Methods in Physics

Author : Piotr Kielanowski
Publisher : Springer Science & Business Media
ISBN 13 : 3034804482
Total Pages : 431 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Geometric Methods in Physics by : Piotr Kielanowski

Download or read book Geometric Methods in Physics written by Piotr Kielanowski and published by Springer Science & Business Media. This book was released on 2012-11-05 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Białowieża workshops on Geometric Methods in Physics are among the most important meetings in the field. Every year some 80 to 100 participants from both mathematics and physics join to discuss new developments and to interchange ideas. This volume contains contributions by selected speakers at the XXX meeting in 2011 as well as additional review articles and shows that the workshop remains at the cutting edge of ongoing research. The 2011 workshop focussed on the works of the late Felix A. Berezin (1931–1980) on the occasion of his 80th anniversary as well as on Bogdan Mielnik and Stanisław Lech Woronowicz on their 75th and 70th birthday, respectively. The groundbreaking work of Berezin is discussed from today’s perspective by presenting an overview of his ideas and their impact on further developments. He was, among other fields, active in representation theory, general concepts of quantization and coherent states, supersymmetry and supermanifolds. Another focus lies on the accomplishments of Bogdan Mielnik and Stanisław Lech Woronowicz. Mielnik’s geometric approach to the description of quantum mixed states, the method of quantum state manipulation and their important implications for quantum computing and quantum entanglement are discussed as well as the intricacies of the quantum time operator. Woronowicz’ fruitful notion of a compact quantum group and related topics are also addressed.