Low Dimensional Applications Of Quantum Field Theory

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Low-Dimensional Applications of Quantum Field Theory

Author : L. Baulieu
Publisher : Springer Science & Business Media
ISBN 13 : 1489919198
Total Pages : 374 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Low-Dimensional Applications of Quantum Field Theory by : L. Baulieu

Download or read book Low-Dimensional Applications of Quantum Field Theory written by L. Baulieu and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Cargese Summer School "Low Dimensional Applications of Quantum Field Theory" was held in July 1995. The School was dedicated to the memory of Claude Itzykson. This session focused on the recent progress in quantum field theory in two dimen sions with a particular emphasis on integrable models and applications of quantum field theory to condensed matter physics. A large fraction of the school was also devoted to a detailed review of the exciting developments in four dimensional super symmetric Yang-Mills theory. The diversity of the topics presented constitute, in our opinion, one of the most attractive features of these proceedings. Some contributions constitute a very thor ough introduction to their subject matter and should be helpful to advanced students in the field while others present entirely new research, not previously published, and should be of considerable interest to the specialist. There were in depth introductory lectures on the application of conformal field theory techniques to disordered systems, on the quantum Hall effect, on quantum in tegrable systems, on the thermodynamic Bethe Ansatz and on the new developments in supersymmetric gauges theories. The computation of the three point function of the Liouville model using conformal bootstrap methods was presented in detail.

Low-dimensional Quantum Field Theories For Condensed Matter Physicists - Lecture Notes Of Ictp Summer Course

Author : Lu Yu
Publisher : World Scientific
ISBN 13 : 9814556831
Total Pages : 625 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Low-dimensional Quantum Field Theories For Condensed Matter Physicists - Lecture Notes Of Ictp Summer Course by : Lu Yu

Download or read book Low-dimensional Quantum Field Theories For Condensed Matter Physicists - Lecture Notes Of Ictp Summer Course written by Lu Yu and published by World Scientific. This book was released on 1995-02-28 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a set of pedagogical reviews covering the most recent applications of low-dimensional quantum field theory in condensed matter physics, written by experts who have made major contributions to this rapidly developing field of research. The main purpose is to introduce active young researchers to new ideas and new techniques which are not covered by the standard textbooks.

Low-dimensional Quantum Field Theories for Condensed Matter Physicists

Author : Stig Lundqvist
Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789810221409
Total Pages : 611 pages
Book Rating : 4.2/5 (214 download)

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Book Synopsis Low-dimensional Quantum Field Theories for Condensed Matter Physicists by : Stig Lundqvist

Download or read book Low-dimensional Quantum Field Theories for Condensed Matter Physicists written by Stig Lundqvist and published by World Scientific Publishing Company Incorporated. This book was released on 1995 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a set of pedagogical reviews covering the most recent applications of low-dimensional quantum field theory in condensed matter physics, written by experts who have made major contributions to this rapidly developing field of research. The main purpose is to introduce active young researchers to new ideas and new techniques which are not covered by the standard textbooks

Non-perturbative Quantum Field Theory: Mathematical Aspects And Applications

Author : Jurg Frohlich
Publisher : World Scientific
ISBN 13 : 9814506567
Total Pages : 855 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Non-perturbative Quantum Field Theory: Mathematical Aspects And Applications by : Jurg Frohlich

Download or read book Non-perturbative Quantum Field Theory: Mathematical Aspects And Applications written by Jurg Frohlich and published by World Scientific. This book was released on 1992-04-29 with total page 855 pages. Available in PDF, EPUB and Kindle. Book excerpt: Compiled to illustrate the recent history of Quantum Field Theory and its trends, this collection of selected reprints by Jürg Fröhlich, a leading theoretician in the field, is a comprehensive guide of the more mathematical aspects of the subject. Results and methods of the past fifteen years are reviewed. The analytical methods employed are non-perturbative and, for the larger part, mathematically rigorous. Most articles are review articles surveying certain important developments in quantum field theory and guiding the reader towards the original literature.The volume begins with a comprehensive introduction by Jürg Fröhlich.The theory of phase transitions and continuous symmetry breaking is reviewed in the first section. The second section discusses the non-perturbative quantization of topological solitons. The third section is devoted to the study of gauge fields. A paper on the triviality of λϖ4 — theory in four and more dimensions is found in the fourth section, while the fifth contains two articles on “random geometry”. The sixth and final part addresses topics in low-dimensional quantum field theory, including braid statistics, two-dimensional conformal field theory and an application to condensed matter theory.

Field Theories for Low-Dimensional Condensed Matter Systems

Author : Guiseppe Morandi
Publisher : Springer Science & Business Media
ISBN 13 : 3662042738
Total Pages : 286 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Field Theories for Low-Dimensional Condensed Matter Systems by : Guiseppe Morandi

Download or read book Field Theories for Low-Dimensional Condensed Matter Systems written by Guiseppe Morandi and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is especially addressed to young researchers in theoretical physics with a basic background in Field Theory and Condensed Matter Physics. The topics were chosen so as to offer the largest possible overlap between the two expertises, selecting a few key problems in Condensed Matter Theory which have been recently revisited within a field-theoretic approach. The presentation of the material is aimed not only at providing the reader with an overview of this exciting frontier area of modern theoretical physics, but also at elucidating most of the tools needed for a technical comprehen sion of the many papers appearing in current issues of physics journals and, hopefully, to enable the reader to tackle research problems in this area of physics. This makes the material a live creature: while not pretending it to be exhaustive, it is tutorial enough to be useful to young researchers as a starting point in anyone of the topics covered in the book.

Tensor Network States and Effective Particles for Low-Dimensional Quantum Spin Systems

Author : Laurens Vanderstraeten
Publisher : Springer
ISBN 13 : 3319641913
Total Pages : 219 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Tensor Network States and Effective Particles for Low-Dimensional Quantum Spin Systems by : Laurens Vanderstraeten

Download or read book Tensor Network States and Effective Particles for Low-Dimensional Quantum Spin Systems written by Laurens Vanderstraeten and published by Springer. This book was released on 2017-08-10 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis develops new techniques for simulating the low-energy behaviour of quantum spin systems in one and two dimensions. Combining these developments, it subsequently uses the formalism of tensor network states to derive an effective particle description for one- and two-dimensional spin systems that exhibit strong quantum correlations. These techniques arise from the combination of two themes in many-particle physics: (i) the concept of quasiparticles as the effective low-energy degrees of freedom in a condensed-matter system, and (ii) entanglement as the characteristic feature for describing quantum phases of matter. Whereas the former gave rise to the use of effective field theories for understanding many-particle systems, the latter led to the development of tensor network states as a description of the entanglement distribution in quantum low-energy states.

Low-Dimensional Topology and Quantum Field Theory

Author : Hugh Osborn
Publisher : Springer Science & Business Media
ISBN 13 : 1489916121
Total Pages : 318 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Low-Dimensional Topology and Quantum Field Theory by : Hugh Osborn

Download or read book Low-Dimensional Topology and Quantum Field Theory written by Hugh Osborn and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: The motivations, goals and general culture of theoretical physics and mathematics are different. Most practitioners of either discipline have no necessity for most of the time to keep abreast of the latest developments in the other. However on occasion newly developed mathematical concepts become relevant in theoretical physics and the less rigorous theoretical physics framework may prove valuable in understanding and suggesting new theorems and approaches in pure mathematics. Such interdis ciplinary successes invariably cause much rejoicing, as over a prodigal son returned. In recent years the framework provided by quantum field theory and functional in tegrals, developed over half a century in theoretical physics, have proved a fertile soil for developments in low dimensional topology and especially knot theory. Given this background it was particularly pleasing that NATO was able to generously sup port an Advanced Research Workshop to be held in Cambridge, England from 6th to 12th September 1992 with the title Low Dimensional Topology and Quantum Field Theory. Although independently organised this overlapped as far as some speak ers were concerned with a longer term programme with the same title organised by Professor M Green, Professor E Corrigan and Dr R Lickorish. The contents of this proceedings of the workshop demonstrate the breadth of topics now of interest on the interface between theoretical physics and mathematics as well as the sophistication of the mathematical tools required in current theoretical physics.

Excitons in Low-Dimensional Semiconductors

Author : Stephan Glutsch
Publisher : Springer Science & Business Media
ISBN 13 : 3662071509
Total Pages : 302 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Excitons in Low-Dimensional Semiconductors by : Stephan Glutsch

Download or read book Excitons in Low-Dimensional Semiconductors written by Stephan Glutsch and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author develops the effective-mass theory of excitons in low-dimensional semiconductors and describes numerical methods for calculating the optical absorption including Coulomb interaction, geometry, and external fields. The theory is applied to Fano resonances in low-dimensional semiconductors and the Zener breakdown in superlattices. Comparing theoretical results with experiments, the book is essentially self-contained; it is a hands-on approach with detailed derivations, worked examples, illustrative figures, and computer programs. The book is clearly structured and will be valuable as an advanced-level self-study or course book for graduate students, lecturers, and researchers.

Low-dimensional Nanoscale Systems on Discrete Spaces

Author : E. Papp
Publisher : World Scientific
ISBN 13 : 9812770615
Total Pages : 277 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Low-dimensional Nanoscale Systems on Discrete Spaces by : E. Papp

Download or read book Low-dimensional Nanoscale Systems on Discrete Spaces written by E. Papp and published by World Scientific. This book was released on 2007 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: The area of low-dimensional quantum systems on discrete spaces is a rapidly growing research field lying at the interface between quantum theoretical developments, like discrete and q-difference equations, and tight binding superlattice models in solid-state physics. Systems on discrete spaces are promising candidates for applications in several areas. Indeed, the dynamic localization of electrons on the 1D lattice under the influence of an external electric field serves to describe time-dependent transport in quantum wires, linear optical absorption spectra, and the generation of higher harmonics. Odd-even parity effects and the flux dependent oscillations of total persistent currents in discretized rings can also be invoked. Technological developments are then provided by conductance calculations characterizing 1D conductors, junctions between rings and leads or rings and dots, and by quantum LC-circuits. Accordingly, the issues presented in this book are important starting points for the design of novel nanodevices.

Integrable Quantum Field Theories and Their Application

Author : Changrim Ahn
Publisher : World Scientific
ISBN 13 : 9810247370
Total Pages : 354 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Integrable Quantum Field Theories and Their Application by : Changrim Ahn

Download or read book Integrable Quantum Field Theories and Their Application written by Changrim Ahn and published by World Scientific. This book was released on 2001 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes several lecture notes on the fundamentals and elementary techniques of integrable field theories and on their applications to low-dimensional physics systems contributed by leading scientists in the respective fields. The main topics covered are various aspects of the thermodynamic Bethe ansatz, form factors, Calogero (and related) models, sigma models, conformal boundary conditions, etc. The volume presents both pedagogical material and a current research trend in the field.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)

Integrable Quantum Field Theories And Their Applications - Procs Of The Apctp Winter School

Author : Changrim Ahn
Publisher : World Scientific
ISBN 13 : 9814490180
Total Pages : 354 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Integrable Quantum Field Theories And Their Applications - Procs Of The Apctp Winter School by : Changrim Ahn

Download or read book Integrable Quantum Field Theories And Their Applications - Procs Of The Apctp Winter School written by Changrim Ahn and published by World Scientific. This book was released on 2001-09-25 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes several lecture notes on the fundamentals and elementary techniques of integrable field theories and on their applications to low-dimensional physics systems contributed by leading scientists in the respective fields. The main topics covered are various aspects of the thermodynamic Bethe ansatz, form factors, Calogero (and related) models, sigma models, conformal boundary conditions, etc. The volume presents both pedagogical material and a current research trend in the field.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)

Nonperturbative Methods In Low Dimensional Quantum Field Theories - Proceedings Of The 14th Johns Hopkins Workshop On Current Problems In Particle Theory

Download Nonperturbative Methods In Low Dimensional Quantum Field Theories - Proceedings Of The 14th Johns Hopkins Workshop On Current Problems In Particle Theory PDF Online Free

Author : Domokos Gabor
Publisher : #N/A
ISBN 13 : 9814556505
Total Pages : 500 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Nonperturbative Methods In Low Dimensional Quantum Field Theories - Proceedings Of The 14th Johns Hopkins Workshop On Current Problems In Particle Theory by : Domokos Gabor

Download or read book Nonperturbative Methods In Low Dimensional Quantum Field Theories - Proceedings Of The 14th Johns Hopkins Workshop On Current Problems In Particle Theory written by Domokos Gabor and published by #N/A. This book was released on 1991-03-15 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This workshop was devoted to a discussion of recent progress made in the understanding of quantum field theories in spacetimes of less than four dimensions. In fact, the subject reached a certain degree of maturity and since most of the contributors played a major role in that progress, this volume constitutes a definitive treatise on this subject. Some of the subjects dealt with include: Quantum Groups and their Representations; W-Algebras and their Role in Physical Systems; Conformally Invariant Quantum Field Theories; Integrable Systems; Topological Field Theories.

Quantum Groups, Quantum Categories and Quantum Field Theory

Author : Jürg Fröhlich
Publisher : Springer
ISBN 13 : 3540476113
Total Pages : 438 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Quantum Groups, Quantum Categories and Quantum Field Theory by : Jürg Fröhlich

Download or read book Quantum Groups, Quantum Categories and Quantum Field Theory written by Jürg Fröhlich and published by Springer. This book was released on 2006-11-15 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews recent results on low-dimensional quantum field theories and their connection with quantum group theory and the theory of braided, balanced tensor categories. It presents detailed, mathematically precise introductions to these subjects and then continues with new results. Among the main results are a detailed analysis of the representation theory of U (sl ), for q a primitive root of unity, and a semi-simple quotient thereof, a classfication of braided tensor categories generated by an object of q-dimension less than two, and an application of these results to the theory of sectors in algebraic quantum field theory. This clarifies the notion of "quantized symmetries" in quantum fieldtheory. The reader is expected to be familiar with basic notions and resultsin algebra. The book is intended for research mathematicians, mathematical physicists and graduate students.

Non-perturbative Quantum Field Theory

Author : Jürg Fröhlich
Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789810204327
Total Pages : 841 pages
Book Rating : 4.2/5 (43 download)

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Book Synopsis Non-perturbative Quantum Field Theory by : Jürg Fröhlich

Download or read book Non-perturbative Quantum Field Theory written by Jürg Fröhlich and published by World Scientific Publishing Company Incorporated. This book was released on 1992 with total page 841 pages. Available in PDF, EPUB and Kindle. Book excerpt: Compiled to illustrate the recent history of Quantum Field Theory and its trends, this collection of selected reprints by Jürg Fröhlich, a leading theoretician in the field, is a comprehensive guide of the more mathematical aspects of the subject. Results and methods of the past fifteen years are reviewed. The analytical methods employed are non-perturbative and, for the larger part, mathematically rigorous. Most articles are review articles surveying certain important developments in quantum field theory and guiding the reader towards the original literature.The volume begins with a comprehensive introduction by Jürg Fröhlich.The theory of phase transitions and continuous symmetry breaking is reviewed in the first section. The second section discusses the non-perturbative quantization of topological solitons. The third section is devoted to the study of gauge fields. A paper on the triviality of λϖ4 — theory in four and more dimensions is found in the fourth section, while the fifth contains two articles on “random geometry”. The sixth and final part addresses topics in low-dimensional quantum field theory, including braid statistics, two-dimensional conformal field theory and an application to condensed matter theory.

Non-perturbative Methods in 2 Dimensional Quantum Field Theory

Author : Elcio Abdalla
Publisher : World Scientific
ISBN 13 : 9810245963
Total Pages : 834 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Non-perturbative Methods in 2 Dimensional Quantum Field Theory by : Elcio Abdalla

Download or read book Non-perturbative Methods in 2 Dimensional Quantum Field Theory written by Elcio Abdalla and published by World Scientific. This book was released on 2001 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of Non-Perturbative Methods in Two-Dimensional Quantum Field Theory is an extensively revised version, involving major changes and additions. Although much of the material is special to two dimensions, the techniques used should prove helpful also in the development of techniques applicable in higher dimensions. In particular, the last three chapters of the book will be of direct interest to researchers wanting to work in the field of conformal field theory and strings.This book is intended for students working for their PhD degree and post-doctoral researchers wishing to acquaint themselves with the non-perturbative aspects of quantum field theory.

An Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry

Author : Ilarion V. Melnikov
Publisher : Springer
ISBN 13 : 3030050858
Total Pages : 482 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis An Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry by : Ilarion V. Melnikov

Download or read book An Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry written by Ilarion V. Melnikov and published by Springer. This book was released on 2019-02-11 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces two-dimensional supersymmetric field theories with emphasis on both linear and non-linear sigma models. Complex differential geometry, in connection with supersymmetry, has played a key role in most developments of the last thirty years in quantum field theory and string theory. Both structures introduce a great deal of rigidity compared to the more general categories of non-supersymmetric theories and real differential geometry, allowing for many general conceptual results and detailed quantitative predictions. Two-dimensional (0,2) supersymmetric quantum field theories provide a natural arena for the fruitful interplay between geometry and quantum field theory. These theories play an important role in string theory and provide generalizations, still to be explored fully, of rich structures such as mirror symmetry. They also have applications to non-perturbative four-dimensional physics, for instance as descriptions of surface defects or low energy dynamics of solitonic strings in four-dimensional supersymmetric theories. The purpose of these lecture notes is to acquaint the reader with these fascinating theories, assuming a background in conformal theory, quantum field theory and differential geometry at the beginning graduate level. In order to investigate the profound relations between structures from complex geometry and field theory the text begins with a thorough examination of the basic structures of (0,2) quantum field theory and conformal field theory. Next, a simple class of Lagrangian theories, the (0,2) Landau-Ginzburg models, are discussed, together with the resulting renormalization group flows, dynamics, and symmetries. After a thorough introduction and examination of (0,2) non-linear sigma models, the text introduces linear sigma models that, in particular, provide a unified treatment of non-linear sigma models and Landau-Ginzburg theories. Many exercises, along with discussions of relevant mathematical notions and important open problems in the field, are included in the text.

New Theoretical Approaches to Strongly Correlated Systems

Author : Alexei M. Tsvelik
Publisher : Springer
ISBN 13 : 9789401008396
Total Pages : 301 pages
Book Rating : 4.0/5 (83 download)

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Book Synopsis New Theoretical Approaches to Strongly Correlated Systems by : Alexei M. Tsvelik

Download or read book New Theoretical Approaches to Strongly Correlated Systems written by Alexei M. Tsvelik and published by Springer. This book was released on with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: For many years, the physics of strongly correlated systems was considered a theorists' playground, right at the border with pure mathematics, where physicists from the `real world' did not venture. The time has come, however, when healthy physics cannot exist without these techniques and results. Lectures on selected topics in the theory of strongly correlated systems are here presented by the leading experts in the field. Topics covered include a use of the form factor approach in low-dimensional systems, applications of quantum field theory to disorder, and dynamical mean field theory. The main divisions of the book deal with: I) Quantum Critical Points; (II) Strongly Correlated One-Dimensional Systems; (III) Strong Correlations and Disorder; and (IV) Dynamical Mean Field Theory.