Low Dimensional Applications Of Quantum Field Theory

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Low-Dimensional Applications of Quantum Field Theory

Author : L. Baulieu,Vladimir Kazakov,Marco Picco,Paul Windey
Publisher : Springer Science & Business Media
Page : 374 pages
File Size : 44,9 Mb
Release : 2013-12-01
Category : Science
ISBN : 9781489919199

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Low-Dimensional Applications of Quantum Field Theory by L. Baulieu,Vladimir Kazakov,Marco Picco,Paul Windey Pdf

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,Stig Lundqvist,Giuseppe Morandi
Publisher : World Scientific
Page : 625 pages
File Size : 55,6 Mb
Release : 1995-02-28
Category : Electronic
ISBN : 9789814556835

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Low-dimensional Quantum Field Theories For Condensed Matter Physicists - Lecture Notes Of Ictp Summer Course by Lu Yu,Stig Lundqvist,Giuseppe Morandi Pdf

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 Topology and Quantum Field Theory

Author : Hugh Osborn
Publisher : NATO Science Series B
Page : 344 pages
File Size : 44,8 Mb
Release : 1993-10-31
Category : Mathematics
ISBN : UVA:X002402517

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Low-Dimensional Topology and Quantum Field Theory by Hugh Osborn Pdf

Mathematicians and theoretical physicists don't generally speak to each other, because they don't have to. But now and then a discovery is made in one field that can be of use in the other. Some of the interesting topics currently at the interface of the two disciplines are discussed in 29 papers from a workshop in Cambridge, England, September 1992. Among them are observables in the Kontsevich model, physical states in topological coset models, and the existence of pointlike localized fields in conformally invariant quantum physics. Annotation copyright by Book News, Inc., Portland, OR

Low-dimensional Quantum Field Theories for Condensed Matter Physicists

Author : Stig Lundqvist,Giuseppe Morandi,Lu Yu,International Centre for Theoretical Physics
Publisher : World Scientific Publishing Company Incorporated
Page : 611 pages
File Size : 42,9 Mb
Release : 1995
Category : Science
ISBN : 9810221401

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Low-dimensional Quantum Field Theories for Condensed Matter Physicists by Stig Lundqvist,Giuseppe Morandi,Lu Yu,International Centre for Theoretical Physics Pdf

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
Page : 854 pages
File Size : 41,5 Mb
Release : 1992-04-29
Category : Electronic
ISBN : 9789814506564

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

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,Pasquale Sodano,Arturo Tagliacozzo,Valerio Tognetti
Publisher : Springer Science & Business Media
Page : 286 pages
File Size : 45,5 Mb
Release : 2013-03-14
Category : Science
ISBN : 9783662042731

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Field Theories for Low-Dimensional Condensed Matter Systems by Guiseppe Morandi,Pasquale Sodano,Arturo Tagliacozzo,Valerio Tognetti Pdf

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
Page : 219 pages
File Size : 42,9 Mb
Release : 2017-08-10
Category : Science
ISBN : 9783319641911

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

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
Page : 318 pages
File Size : 51,8 Mb
Release : 2013-11-11
Category : Science
ISBN : 9781489916129

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Low-Dimensional Topology and Quantum Field Theory by Hugh Osborn Pdf

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.

Quantum Groups, Quantum Categories and Quantum Field Theory

Author : Jürg Fröhlich,Thomas Kerler
Publisher : Springer
Page : 438 pages
File Size : 52,9 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540476115

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Quantum Groups, Quantum Categories and Quantum Field Theory by Jürg Fröhlich,Thomas Kerler Pdf

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.

A Prelude to Quantum Field Theory

Author : John Donoghue,Lorenzo Sorbo
Publisher : Princeton University Press
Page : 160 pages
File Size : 45,5 Mb
Release : 2022-02-22
Category : Science
ISBN : 9780691223506

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A Prelude to Quantum Field Theory by John Donoghue,Lorenzo Sorbo Pdf

A concise, beginner-friendly introduction to quantum field theory Quantum field theory is a powerful framework that extends quantum mechanics in ways that are essential in many modern applications. While it is the fundamental formalism for the study of many areas of physics, quantum field theory requires a different way of thinking, and many newcomers to the subject struggle with the transition from quantum mechanics. A Prelude to Quantum Field Theory introduces the key concepts of quantum field theory in a brief and accessible manner while never sacrificing mathematical rigor. The result is an easy-to-use textbook that distills the most general properties of the theory without overwhelming beginning students with more advanced applications. Bridges quantum mechanics and quantum field theory, emphasizing analogies and differences Emphasizes a “quantum field theoretical mindset” while maintaining mathematical rigor Obtains quantum fields as the continuum limit of a quantized system of many particles Highlights the correspondence between wave function—fundamental in quantum mechanics—and the formalism of second quantization used in quantum field theory Provides a step-by-step derivation of Feynman rules for the perturbative study of interacting theories Introduces students to renormalization, path integrals techniques, and more Discusses more modern topics like effective field theories Ideal for both undergraduate and graduate students Proven in the classroom

Integrable Quantum Field Theories and Their Application

Author : Changrim Ahn,C. Rim,Ry? Sasaki
Publisher : World Scientific
Page : 354 pages
File Size : 51,9 Mb
Release : 2001
Category : Science
ISBN : 9789810247379

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Integrable Quantum Field Theories and Their Application by Changrim Ahn,C. Rim,Ry? Sasaki Pdf

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,Chaiho Rim,Ryu Sasaki
Publisher : World Scientific
Page : 354 pages
File Size : 52,6 Mb
Release : 2001-09-25
Category : Science
ISBN : 9789814490184

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Integrable Quantum Field Theories And Their Applications - Procs Of The Apctp Winter School by Changrim Ahn,Chaiho Rim,Ryu Sasaki Pdf

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

Author : Domokos Gabor,Horvath Zalan,Kovesi-domokos Susan
Publisher : #N/A
Page : 500 pages
File Size : 42,6 Mb
Release : 1991-03-15
Category : Electronic
ISBN : 9789814556507

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Nonperturbative Methods In Low Dimensional Quantum Field Theories - Proceedings Of The 14th Johns Hopkins Workshop On Current Problems In Particle Theory by Domokos Gabor,Horvath Zalan,Kovesi-domokos Susan Pdf

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.

New Theoretical Approaches to Strongly Correlated Systems

Author : Alexei M. Tsvelik
Publisher : Springer Science & Business Media
Page : 308 pages
File Size : 51,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401008389

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New Theoretical Approaches to Strongly Correlated Systems by Alexei M. Tsvelik Pdf

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.

Low-dimensional Nanoscale Systems on Discrete Spaces

Author : E. Papp,Codrutza Micu
Publisher : World Scientific
Page : 277 pages
File Size : 44,6 Mb
Release : 2007
Category : Science
ISBN : 9789812770615

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Low-dimensional Nanoscale Systems on Discrete Spaces by E. Papp,Codrutza Micu Pdf

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.