Low Dimensional Sigma Models

Author : W. J. Zakrzewski
Publisher : CRC Press
Page : 312 pages
File Size : 52,6 Mb
Release : 1989-06
Category : Chirality
ISBN : UCAL:B4348221

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Low-dimensional Sigma Models, by W. J. Zakrzewski Pdf

This book gathers together established ideas and applications of sigma models and presents them together with modern applications to provide a unified and complete view of simple sigma models and the role they play in model building in field theoretical methods in elementary particle physics. The book is written for both mathematicians and physicists and is aimed at graduate students and researchers in theoretical particle physics who are interested in sigma models and those working in the general area of harmonic maps in pure mathematics.

Author : L. Baulieu,Vladimir Kazakov,Marco Picco,Paul Windey
Publisher : Springer Science & Business Media
Page : 374 pages
File Size : 46,9 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.

Author : Sergei V. Ketov
Publisher : Springer Science & Business Media
Page : 429 pages
File Size : 55,7 Mb
Release : 2013-03-09
Category : Science
ISBN : 9783662041925

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Quantum Non-linear Sigma-Models by Sergei V. Ketov Pdf

This is the first comprehensive presentation of the quantum non-linear sigma-models. The original papers consider in detail geometrical properties and renormalization of a generic non-linear sigma-model, illustrated by explicit multi-loop calculations in perturbation theory.

Author : Stephane Ouvry,Vincent Pasquier,Didina Serban,Leticia Cugliandolo
Publisher : Oxford University Press
Page : 651 pages
File Size : 47,9 Mb
Release : 2010-04-22
Category : Language Arts & Disciplines
ISBN : 9780199574612

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Exact Methods in Low-dimensional Statistical Physics and Quantum Computing by Stephane Ouvry,Vincent Pasquier,Didina Serban,Leticia Cugliandolo Pdf

Low-dimensional statistical models are instrumental in improving our understanding of emerging fields, such as quantum computing and cryptography, complex systems, and quantum fluids. This book of lectures by international leaders in the field sets these issues into a larger and more coherent theoretical perspective than is currently available.

Author : Igor V. Lerner,Boris L. Althsuler,Vladimir I. Fal'ko,Thierry Giamarchi
Publisher : Springer Science & Business Media
Page : 418 pages
File Size : 47,9 Mb
Release : 2002-07-31
Category : Science
ISBN : 1402007485

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Strongly Correlated Fermions and Bosons in Low-Dimensional Disordered Systems by Igor V. Lerner,Boris L. Althsuler,Vladimir I. Fal'ko,Thierry Giamarchi Pdf

The physics of strongly correlated fermions and bosons in a disordered envi ronment and confined geometries is at the focus of intense experimental and theoretical research efforts. Advances in material technology and in low temper ature techniques during the last few years led to the discoveries of new physical of atomic gases and a possible metal phenomena including Bose condensation insulator transition in two-dimensional high mobility electron structures. Situ ations were the electronic system is so dominated by interactions that the old concepts of a Fermi liquid do not necessarily make a good starting point are now routinely achieved. This is particularly true in the theory of low dimensional systems such as carbon nanotubes, or in two dimensional electron gases in high mobility devices where the electrons can form a variety of new structures. In many of these sys tems disorder is an unavoidable complication and lead to a host of rich physical phenomena. This has pushed the forefront of fundamental research in condensed matter towards the edge where the interplay between many-body correlations and quantum interference enhanced by disorder has become the key to the understand ing of novel phenomena.

Author : Laurens Vanderstraeten
Publisher : Springer
Page : 219 pages
File Size : 48,7 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.

Author : Lu Yu,Stig Lundqvist,Giuseppe Morandi
Publisher : World Scientific
Page : 625 pages
File Size : 43,6 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.

Author : Ayao Okiji,Norio Kawakami
Publisher : Springer Science & Business Media
Page : 223 pages
File Size : 45,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642851292

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Correlation Effects in Low-Dimensional Electron Systems by Ayao Okiji,Norio Kawakami Pdf

Correlation Effects in Low-Dimensional Electron Systems describes recent developments in theoretical condensed-matter physics, emphasizing exact solutions in one dimension including conformal-field theoretical approaches, the application of quantum groups, and numerical diagonalization techniques. Various key properties are presented for two-dimensional, highly correlated electron systems.

Author : Anonim
Publisher : World Scientific
Page : 333 pages
File Size : 48,7 Mb
Release : 2007
Category : Mathematics
ISBN : 9789812779649

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Noncommutative Geometry and Physics 2005 by Anonim Pdf

This book provides a comprehensive overview of the authors' pioneering contributions to nonlinear set-valued analysis by topological methods. The coverage includes fixed point theory, degree theory, the KKM principle, variational inequality theory, the Nash equilibrium point in mathematical economics, the Pareto optimum in optimization, and applications to best approximation theory, partial equations and boundary value problems. Self-contained and unified in presentation, the book considers the existence of equilibrium points of abstract economics in topological vector spaces from the viewpoint of Ky Fan minimax inequalities. It also provides the latest developments in KKM theory and degree theory for nonlinear set-valued mappings.

Author : Şengül Kuru,Javier Negro,Luis M. Nieto
Publisher : Springer
Page : 434 pages
File Size : 49,6 Mb
Release : 2019-07-12
Category : Science
ISBN : 9783030200879

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Integrability, Supersymmetry and Coherent States by Şengül Kuru,Javier Negro,Luis M. Nieto Pdf

This volume shares and makes accessible new research lines and recent results in several branches of theoretical and mathematical physics, among them Quantum Optics, Coherent States, Integrable Systems, SUSY Quantum Mechanics, and Mathematical Methods in Physics. In addition to a selection of the contributions presented at the "6th International Workshop on New Challenges in Quantum Mechanics: Integrability and Supersymmetry", held in Valladolid, Spain, 27-30 June 2017, several high quality contributions from other authors are also included. The conference gathered 60 participants from many countries working in different fields of Theoretical Physics, and was dedicated to Prof. Véronique Hussin—an internationally recognized expert in many branches of Mathematical Physics who has been making remarkable contributions to this field since the 1980s. The reader will find interesting reviews on the main topics from internationally recognized experts in each field, as well as other original contributions, all of which deal with recent applications or discoveries in the aforementioned areas.

Author : Guiseppe Morandi,Pasquale Sodano,Arturo Tagliacozzo,Valerio Tognetti
Publisher : Springer Science & Business Media
Page : 286 pages
File Size : 45,9 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.

Author : M. B. Paranjape,Richard MacKenzie,Zora Thomova,Pavel Winternitz,William Witczak-Krempa
Publisher : Springer Nature
Page : 670 pages
File Size : 51,8 Mb
Release : 2021
Category : Electronic books
ISBN : 9783030557775

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Quantum Theory and Symmetries by M. B. Paranjape,Richard MacKenzie,Zora Thomova,Pavel Winternitz,William Witczak-Krempa Pdf

This volume of the CRM Conference Series is based on a carefully refereed selection of contributions presented at the "11th International Symposium on Quantum Theory and Symmetries", held in Montreal, Canada from July 1-5, 2019. The main objective of the meeting was to share and make accessible new research and recent results in several branches of Theoretical and Mathematical Physics, including Algebraic Methods, Condensed Matter Physics, Cosmology and Gravitation, Integrability, Non-perturbative Quantum Field Theory, Particle Physics, Quantum Computing and Quantum Information Theory, and String/ADS-CFT. There was also a special session in honour of Decio Levi. The volume is divided into sections corresponding to the sessions held during the symposium, allowing the reader to appreciate both the homogeneity and the diversity of mathematical tools that have been applied in these subject areas. Several of the plenary speakers, who are internationally recognized experts in their fields, have contributed reviews of the main topics to complement the original contributions. .

Author : Piotr Garbaczewski,Ziemowit Popowicz
Publisher : World Scientific
Page : 722 pages
File Size : 45,9 Mb
Release : 1991-09-02
Category : Electronic
ISBN : 9789814556262

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Nonlinear Fields: Classical Random Semiclassical: Karpacz 91 - Proceedings Of The Xxvii Winter School Of Theoretical Physics by Piotr Garbaczewski,Ziemowit Popowicz Pdf

Main themes are complete integrability, bi-Hamiltonian structures, hierarchies, impact on string theory, links with quantum groups, random perturbations of deterministic dynamics and the onset of stochasticity/chaos/ in case of particle motion, and the relation between randomness and quantisation.

Author : Rozmus W,Tuszynski Jack A
Publisher : #N/A
Page : 640 pages
File Size : 41,5 Mb
Release : 1991-07-22
Category : Electronic
ISBN : 9789814569798

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Nonlinear And Chaotic Phenomena In Plasmas, Solids And Fluids - Proceedings Of The Conference by Rozmus W,Tuszynski Jack A Pdf

Author : Changrim Ahn,Chaiho Rim,Ryu Sasaki
Publisher : World Scientific
Page : 354 pages
File Size : 44,8 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)