Form Factors In Completely Integrable Models Of Quantum Field Theory

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Form Factors in Completely Integrable Models of Quantum Field Theory

F. A. Smirnov
Form Factors in Completely Integrable Models of Quantum Field Theory Book PDF

Author : F. A. Smirnov
Publisher : World Scientific
Page : 234 pages
File Size : 46,6 Mb
Release : 1992
Category : Science
ISBN : 981020244X

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Form Factors in Completely Integrable Models of Quantum Field Theory by F. A. Smirnov Pdf

The monograph summarizes recent achievements in the calculation of matrix elements of local operators (form factors) for completely integrable models. Particularly, it deals with sine-Gordon, chiral Gross-Neven and O(3) nonlinear s models. General requirements on form factors are formulated and explicit formulas for form factors of most fundamental local operators are presented for the above mentioned models.

Introduction to Quantum Group and Integrable Massive Models of Quantum Field Theory

Mo-Lin Ge,Bao-Heng Zhao
Introduction to Quantum Group and Integrable Massive Models of Quantum Field Theory Book PDF

Author : Mo-Lin Ge,Bao-Heng Zhao
Publisher : World Scientific
Page : 208 pages
File Size : 49,7 Mb
Release : 1990-09-24
Category : Electronic
ISBN : 9789814551199

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Introduction to Quantum Group and Integrable Massive Models of Quantum Field Theory by Mo-Lin Ge,Bao-Heng Zhao Pdf

The Proceedings consists of 6 lectures each from Prof L Takhtajan and Prof F Smirnov which were presented during the workshop. Contents:Lectures on Integrable Massive Models of Quantum Field Theory (F A Smirnov):General Problems of the Quantum Field Theory. Completely Integrable ModelsSpace of States. Form Factors. A Set of Axioms for Form FactorsLocal Commutativity and Asymptotic ConditionsForm Factors in SU(2)-Invariant Thirring ModelNecessary Properties of the Currents Form Factors in SU(2)-Invariant Thirring ModelProperties of Currents in SU(2)-Invariant Thirring ModelLectures on Quantum Groups (L A Takhtajan):Historical Introduction. Algebraic BackgroundPoisson-Lie Groups, CYBE and Modified CYBE. Connection with ISM. Lie-Algebraic Meaning of CYBE and Modified CYBEQuantization Procedure as a Deformation of the Algebra of Classical ObservablesWeyl Quantization. Quantization of Poisson-Lie Groups Associated with CYBEQYBEQuantization of Poisson-Lie Groups Associated with Modified CYBE. Quantum Matrix Algebras. Quantum Determinant and Quantum Groups SL(n) and GL (n)Quantum Vector Spaces for the Quantum Groups SLq(n), GLq(n) and their Real Forms. Quantum Groups Oq(N), SPq(n), Quantum Vector Spaces Associated with them and their Real FormsQuantization of the Universal Enveloping Algebras of the Simple Lie Algebras. Elements of the Representations Theory Readership: Mathematical physicists. keywords:

Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory

S. Pakuliak,G. von Gehlen
Integrable Structures of Exactly Solvable Two Dimensional Models of Quantum Field Theory Book PDF

Author : S. Pakuliak,G. von Gehlen
Publisher : Springer Science & Business Media
Page : 334 pages
File Size : 54,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401006705

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Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory by S. Pakuliak,G. von Gehlen Pdf

Integrable quantum field theories and integrable lattice models have been studied for several decades, but during the last few years new ideas have emerged that have considerably changed the topic. The first group of papers published here is concerned with integrable structures of quantum lattice models related to quantum group symmetries. The second group deals with the description of integrable structures in two-dimensional quantum field theories, especially boundary problems, thermodynamic Bethe ansatz and form factor problems. Finally, a major group of papers is concerned with the purely mathematical framework that underlies the physically-motivated research on quantum integrable models, including elliptic deformations of groups, representation theory of non-compact quantum groups, and quantization of moduli spaces.

Integrable Quantum Field Theories and Their Application

Changrim Ahn,C. Rim,Ryu Sasaki,Ryū Sasaki
Integrable Quantum Field Theories and Their Application Book PDF

Author : Changrim Ahn,C. Rim,Ryu Sasaki,Ryū Sasaki
Publisher : World Scientific
Page : 360 pages
File Size : 49,7 Mb
Release : 2001
Category : Mathematics
ISBN : 9812799737

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

Applications of reflection amplitudes in Toda-type theories / C. Ahn, C. Kim and C. Rim -- Lax pairs and involutive Hamiltonians for CN and BCN Ruijsenaars-Schneider models / Kai Chen, B.-Y. Hou and W.-L. Yang -- Fateev's models and their applications / D. Controzzi and A.M. Tsvelik -- The ODE/IM correspondence / P. Dorey, C. Dunning and R. Tateo -- Integrable sigma models / P. Fendley -- Lorentz lattice gases and spin chains / M.J. Martins -- Quantum Calogero-Moser models for any root system / R. Sasaki -- Quasi-particles in conformal field theories for fractional quantum Hall systems / K. Schoutens and R.A.J. van Elburg -- Towards form factors in finite volume / F.A. Smirnov -- Static and dynamic properties of trapped Bose-Einstein condensates / T. Tsurumi, H. Morise and M. Wadati -- Integrability of the Calogero Model: Conserved quantities, the classical general solution and the quantum orthogonal basis / H. Ujino, A. Nishino and M. Wadati -- Conformal boundary conditions / J.-B. Zuber

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

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

Author : Changrim Ahn,Chaiho Rim,Ryu Sasaki
Publisher : World Scientific
Page : 354 pages
File Size : 53,5 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)

Statistical Field Theory

G. Mussardo
Statistical Field Theory Book PDF

Author : G. Mussardo
Publisher : Oxford University Press
Page : 778 pages
File Size : 52,8 Mb
Release : 2010
Category : Science
ISBN : 9780199547586

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Statistical Field Theory by G. Mussardo Pdf

A thorough and pedagogical introduction to phase transitions and exactly solved models in statistical physics and quantum field theory.

Integrable Systems, Quantum Groups, and Quantum Field Theories

Alberto Ibort,M.A. Rodríguez
Integrable Systems Quantum Groups and Quantum Field Theories Book PDF

Author : Alberto Ibort,M.A. Rodríguez
Publisher : Springer Science & Business Media
Page : 508 pages
File Size : 54,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401119801

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Integrable Systems, Quantum Groups, and Quantum Field Theories by Alberto Ibort,M.A. Rodríguez Pdf

In many ways the last decade has witnessed a surge of interest in the interplay between theoretical physics and some traditional areas of pure mathematics. This book contains the lectures delivered at the NATO-ASI Summer School on `Recent Problems in Mathematical Physics' held at Salamanca, Spain (1992), offering a pedagogical and updated approach to some of the problems that have been at the heart of these events. Among them, we should mention the new mathematical structures related to integrability and quantum field theories, such as quantum groups, conformal field theories, integrable statistical models, and topological quantum field theories, that are discussed at length by some of the leading experts on the areas in several of the lectures contained in the book. Apart from these, traditional and new problems in quantum gravity are reviewed. Other contributions to the School included in the book range from symmetries in partial differential equations to geometrical phases in quantum physics. The book is addressed to researchers in the fields covered, PhD students and any scientist interested in obtaining an updated view of the subjects.

2017 MATRIX Annals

Jan de Gier,Cheryl E. Praeger,Terence Tao
2017 MATRIX Annals Book PDF

Author : Jan de Gier,Cheryl E. Praeger,Terence Tao
Publisher : Springer
Page : 691 pages
File Size : 52,5 Mb
Release : 2019-03-13
Category : Mathematics
ISBN : 9783030041618

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2017 MATRIX Annals by Jan de Gier,Cheryl E. Praeger,Terence Tao Pdf

​MATRIX is Australia’s international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-4 weeks in duration. This book is a scientific record of the eight programs held at MATRIX in its second year, 2017: - Hypergeometric Motives and Calabi–Yau Differential Equations - Computational Inverse Problems - Integrability in Low-Dimensional Quantum Systems - Elliptic Partial Differential Equations of Second Order: Celebrating 40 Years of Gilbarg and Trudinger’s Book - Combinatorics, Statistical Mechanics, and Conformal Field Theory - Mathematics of Risk - Tutte Centenary Retreat - Geometric R-Matrices: from Geometry to Probability The articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on a topic related to the MATRIX program; the remaining contributions are predominantly lecture notes or short articles based on talks or activities at MATRIX.

Spinning Strings and Correlation Functions in the AdS/CFT Correspondence

Juan Miguel Nieto
Spinning Strings and Correlation Functions in the AdS CFT Correspondence Book PDF

Author : Juan Miguel Nieto
Publisher : Springer
Page : 187 pages
File Size : 48,5 Mb
Release : 2018-07-21
Category : Science
ISBN : 9783319960203

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Spinning Strings and Correlation Functions in the AdS/CFT Correspondence by Juan Miguel Nieto Pdf

This book addresses several aspects of the integrable structure of the AdS/CFT correspondence. In particular it presents computations made on both sides of the AdS/CFT correspondence, at weak and at strong coupling. On the string theory side of the correspondence, the book focuses on the evaluation of the energy spectrum of closed string solutions moving in some deformed backgrounds that preserve integrability. On the gauge theory side, it explores various formal problems arising in the computation of two and three-point functions by means of the Algebraic Bethe Ansatz and the Quantum Inverse Scattering method. The book features numerous results on integrability in the context of the AdS/CFT correspondence. Self-contained and pedagogical, it includes general discussions and detailed presentations on the use of integrable systems techniques and their applications.

Integrable Systems

John P. Harnad,Gert Sabidussi,Pavel Winternitz
Integrable Systems Book PDF

Author : John P. Harnad,Gert Sabidussi,Pavel Winternitz
Publisher : American Mathematical Soc.
Page : 284 pages
File Size : 54,9 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 082187022X

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Integrable Systems by John P. Harnad,Gert Sabidussi,Pavel Winternitz Pdf

This volume presents the papers based upon lectures given at the 1999 Séminaire de Mathémathiques Supérieurs held in Montreal. It includes contributions from many of the most active researchers in the field. This subject has been in a remarkably active state of development throughout the past three decades, resulting in new motivation for study in r s3risingly different directions. Beyond the intrinsic interest in the study of integrable models of many-particle systems, spin chains, lattice and field theory models at both the classical and the quantum level, and completely solvable models in statistical mechanics, there have been new applications in relation to a number of other fields of current interest. These fields include theoretical physics and pure mathematics, for example the Seiberg-Witten approach to supersymmetric Yang-Mills theory, the spectral theory of random matrices, topological models of quantum gravity, conformal field theory, mirror symmetry, quantum cohomology, etc. This collection gives a nice cross-section of the current state of the work in the area of integrable systems which is presented by some of the leading active researchers in this field. The scope and quality of the articles in this volume make this a valuable resource for those interested in an up-to-date introduction and an overview of many of the main areas of study in the theory of integral systems.

Local Operators in Integrable Models I

Michio Jimbo,Tetsuji Miwa,Fedor Smirnov
Local Operators in Integrable Models I Book PDF

Author : Michio Jimbo,Tetsuji Miwa,Fedor Smirnov
Publisher : American Mathematical Soc.
Page : 192 pages
File Size : 50,6 Mb
Release : 2021-07-02
Category : Education
ISBN : 9781470465520

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Local Operators in Integrable Models I by Michio Jimbo,Tetsuji Miwa,Fedor Smirnov Pdf

Integrable models in statistical mechanics and quantum field theory constitute a rich research field at the crossroads of modern mathematics and theoretical physics. An important issue to understand is the space of local operators in the system and, ultimately, their correlation functions and form factors. This book is the first published monograph on this subject. It treats integrable lattice models, notably the six-vertex model and the XXZ Heisenberg spin chain. A pair of fermions is introduced and used to create a basis of the space of local operators, leading to the result that all correlation functions at finite distances are expressible in terms of two transcendental functions with rational coefficients. Step-by-step explanations are given for all materials necessary for this construction, ranging from algebraic Bethe ansatz, representations of quantum groups, and the Bazhanov-Lukyanov-Zamolodchikov construction in conformal field theory to Riemann surfaces and their Jacobians. Several examples and applications are given along with numerical results. Going through the book, readers will find themselves at the forefront of this rapidly developing research field.

Advances in Algebraic Quantum Field Theory

Romeo Brunetti,Claudio Dappiaggi,Klaus Fredenhagen,Jakob Yngvason
Advances in Algebraic Quantum Field Theory Book PDF

Author : Romeo Brunetti,Claudio Dappiaggi,Klaus Fredenhagen,Jakob Yngvason
Publisher : Springer
Page : 453 pages
File Size : 54,8 Mb
Release : 2015-09-04
Category : Science
ISBN : 9783319213538

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Advances in Algebraic Quantum Field Theory by Romeo Brunetti,Claudio Dappiaggi,Klaus Fredenhagen,Jakob Yngvason Pdf

This text focuses on the algebraic formulation of quantum field theory, from the introductory aspects to the applications to concrete problems of physical interest. The book is divided in thematic chapters covering both introductory and more advanced topics. These include the algebraic, perturbative approach to interacting quantum field theories, algebraic quantum field theory on curved spacetimes (from its structural aspects to the applications in cosmology and to the role of quantum spacetimes), algebraic conformal field theory, the Kitaev's quantum double model from the point of view of local quantum physics and constructive aspects in relation to integrable models and deformation techniques. The book is addressed to master and graduate students both in mathematics and in physics, who are interested in learning the structural aspects and the applications of algebraic quantum field theory.

Conformal Field Theories and Integrable Models

Zalan Horvath,Laszlo Palla
Conformal Field Theories and Integrable Models Book PDF

Author : Zalan Horvath,Laszlo Palla
Publisher : Springer
Page : 254 pages
File Size : 50,7 Mb
Release : 2014-03-12
Category : Science
ISBN : 3662141108

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Conformal Field Theories and Integrable Models by Zalan Horvath,Laszlo Palla Pdf

In the last few years we have witnessed an upsurge of interest in exactly solvable quantum field theoretical models in many branches of theoretical physics ranging from mathematical physics through high-energy physics to solid states. This book contains six pedagogically written articles meant as an introduction for graduate students to this fascinating area of mathematical physics. It leads them to the front line of present-day research. The topics include conformal field theory and W algebras, the special features of 2d scattering theory as embodied in the exact S matrices and the form factor studies built on them, the Yang--Baxter equations, and the various aspects of the Bethe Ansatz systems.

From Integrable Models to Gauge Theories

V G Gurzadyan,A G Sedrakian
From Integrable Models to Gauge Theories Book PDF

Author : V G Gurzadyan,A G Sedrakian
Publisher : World Scientific
Page : 328 pages
File Size : 51,5 Mb
Release : 2002-04-22
Category : Science
ISBN : 9789814488754

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From Integrable Models to Gauge Theories by V G Gurzadyan,A G Sedrakian Pdf

This collection of twenty articles in honor of the noted physicist and mentor Sergei Matinyan focuses on topics that are of fundamental importance to high-energy physics, field theory and cosmology. The topics range from integrable quantum field theories, three-dimensional Ising models, parton models and tests of the Standard Model, to black holes in loop quantum gravity, the cosmological constant and magnetic fields in cosmology. A pedagogical essay by Lev Okun concentrates on the problem of fundamental units. The articles have been written by well-known experts and are addressed to graduate students and researchers. Contents:3D Ising Model on Dual BCC Lattice: The Sign-Factor (J Ambjorn et al.)On Algebra of the Baxter Q-Operators (A A Belavin & R A Usmanov)Aspect of Locality in the Form Factor Program (O A Castro-Alvaredo & A Fring)On the Origin of Symmetries (J L Chkareuli)Generalization of Magnetic Fields in Cosmology (A D Dolgov)On the Cosmological Constant and Vacuum Energy (V G Gurzadyan & S S Xue)Topics in Parton Model (O V Kancheli)Bjorken Asymptotics of QCD and Integrable Systems (D Karakhanyan & R Kirschner)Entropy and Area of Black Holes in Loop Quantum Gravity (I B Khriplovich)Statistical Ensembles and Density of States (V Kostrykin & R Schrader)The Anthropic Principle Revisted (B Müller)Fundamental Units (L B Okun)Structure Constant of Boundary Operators in Liouville Field Theory (B Ponsot & J Teschner)Winding Number Versus Chern–Pontryagin Charge (T Tchrakian)Magnetically Induced Vacuum-Energy Releasing (S S Xue)and other papers Readership: High energy physicists and mathematical researchers. Keywords:Gauge;Standard Model;Baxter;Parton;Loop Quantum Gravity

What Next? Exploring The Future Of High-energy Physics - Proceedings Of The 16th Annual Montreal-rochester-syracuse-toronto (Mrst) Meeting

J R Cudell,Keith R Dienes,B Margolis
What Next Exploring The Future Of High energy Physics Proceedings Of The 16th Annual Montreal rochester syracuse toronto Mrst Meeting Book PDF

Author : J R Cudell,Keith R Dienes,B Margolis
Publisher : World Scientific
Page : 334 pages
File Size : 47,5 Mb
Release : 1994-12-14
Category : Electronic
ISBN : 9789814549950

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What Next? Exploring The Future Of High-energy Physics - Proceedings Of The 16th Annual Montreal-rochester-syracuse-toronto (Mrst) Meeting by J R Cudell,Keith R Dienes,B Margolis Pdf

This volume contains the proceedings of the above meeting which attracted over 100 physicists from the United States, Canada, and Europe. MRST-94 explored a wide variety of current issues ranging from the formal aspects of theoretical high-energy physics (conformal field theory, strings, supersymmetry, black holes, new field-theoretic techniques, non-perturbative methods, and finite-temperature field theory) to the more phenomenological (mass generation, heavy quarks, CP violation, weak decays, neutrino physics, cosmic phenomena, heavy-ion physics, collider physics, and issues surrounding the recent evidence for the top quark). This volume thus provides a broad overview of recent developments in theoretical high-energy physics.