Yang-baxter Equations, Conformal Invariance And Integrability In Statistical Mechanics And Field Theory - Proceedings Of A Conference PDF Download
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Author: Barber Michael N
Publisher: #N/A
ISBN: 981469682X
Category : Canberra, Australia
Languages : en
Pages : 426
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Book Description
Author: Barber Michael N
Publisher: #N/A
ISBN: 981469682X
Category : Canberra, Australia
Languages : en
Pages : 426
Get Book
Book Description
Author: Michael N. Barber
Publisher:
ISBN: 9789814540964
Category : SCIENCE
Languages : en
Pages : 437
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Book Description
Author: Michio Jimbo
Publisher: World Scientific
ISBN:
Category : Mathematical physics
Languages : en
Pages : 0
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Book Description
This volume will be the first reference book devoted specially to the Yang-Baxter equation. The subject relates to broad areas including solvable models in statistical mechanics, factorized S matrices, quantum inverse scattering method, quantum groups, knot theory and conformal field theory. The articles assembled here cover major works from the pioneering papers to classical Yang-Baxter equation, its quantization, variety of solutions, constructions and recent generalizations to higher genus solutions.
Author: C Itzykson
Publisher: World Scientific
ISBN: 9814507598
Category :
Languages : en
Pages : 992
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Book Description
This volume contains Introductory Notes and major reprints on conformal field theory and its applications to 2-dimensional statistical mechanics of critical phenomena. The subject relates to many different areas in contemporary physics and mathematics, including string theory, integrable systems, representations of infinite Lie algebras and automorphic functions.
Author: M L Ge
Publisher: World Scientific
ISBN: 9814547565
Category :
Languages : en
Pages : 460
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Book Description
This book contains the proceedings of two international conferences: a satellite meeting of the IUPAP Statphys-19 Conference and the Seventh Nankai Workshop, held in Tianjin, China in August 1995. The central theme of the two conferences, which drew participants from 18 countries, was the Yang–Baxter equation and its development and applications. With topics ranging from quantum groups, vertex and spin models, to applications in condensed matter physics, this book reflects the current research interest of integrable systems in statistical mechanics. Contents:Satellite Meeting of Statphys-19:Boundary Yang–Baxter in the RSOS/SOS Representation (C Ahn & W M Koo)Quantum Domains in Ferromagnetic Anisotropic Heisenberg Chains (F C Alcaraz et al.)The Generalized Chiral Clock Model and Its Phase Diagram (H Au-Yang & J H H Perk)Algebraic Solution of the Coincidence Problem for Crystals and Quasicrystals (M Baake)Reflection Equations and Surface Critical Phenomena (M T Batchelor)Quantum Field Theories in Terms of Group-Valued Local Fields: An Overview (L-L Chau)U(1)-Invariant Local and Integrable Lattice Formulation of the Massive Thirring Model (C Destri)Dilute Algebras and Solvable Lattice Models (U Grimm)Mutual Exclusion Statistics in the Exactly Solvable Model of the Mott Metal-Insulator Transition (Y Hatsugai et al.) Quantum Group and the Hofstadter Problem (Y Hatsugai et al.)Domain Walls in the Spin-S Quantum Ising Chain (M Henkel)Probability of Phase Separation and Two Point Temperature Correlation Functions for the Bose Gas with Delta Interaction (A R Its & V E Korepin)Stochastic Reaction-Diffusion Processes, Operator Algebras and Integrable Quantum Spin Chains (G M Schütz)Vertex-Face Correspondence in Elliptic Solutions of the Yang–Baxter Equation (Y Shibukawa)Logarithmic Anomalies of Susceptibility for Solvable Models (M Takahashi)On Chiral Hubbard Model at Strong Interaction (D F Wang)Soluble Free-Fermion Models in d Dimensions (F Y Wu)Bosonization Based on Bethe Ansatz Equations and Proof of the Conformal Conjecture (Y-S Wu & Y Yu)and other papersThe Seventh Nankai Workshop:Corner Transfer Matrix of Asymmetric Vertex Models (H-P Eckle)Scaling Properties of the Ising Model in a Field (U Grimm & B Nienhuis)One Dimensional Lattice Models of Electrons with r–2 Hopping and Exchange (Ch Gruber & D F Wang)Symmetry Group Invariants for Spontaneous Magnetization (J-M Maillard)Experimental Realizations of Integrable Reaction-Diffusion Processes in Biological and Chemical Systems (G M Schütz)Zamolodchikov–Faddeev Algebra in 2-Component Anyons (Y-L Shen & M-L Ge)and other papers Readership: Theoretical physicists and mathematicians. keywords:
Author: Gösta Ekspong
Publisher: World Scientific
ISBN: 9814571628
Category : Science
Languages : en
Pages : 460
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Book Description
The Oskar Klein Memorial Lecture series has become a very successful tradition in Swedish physics since it started in 1988. Theoretical high-energy physics dominates the subjects of the lectures, mirroring one of Klein's own main interests. This single volume is a compilation of the unique lectures previously produced in three separate volumes. The lectures are by world renowned experts in physics who have all contributed to the excitement of the field over the years. They continue to be of value to students and teachers alike. Contents:Part I:Oskar Klein (Inga Fischer-Hjalmars and Bertel Laurent)Symmetry and Physics (Chen Ning Yang)From the Bethe–Hulthén Hypothesis to the Yang–Baxter Equation (Chen Ning Yang)Beyond the Standard Models (Steven Weinberg)Precision Tests of Quantum Mechanics (Steven Weinberg)Quantum Theory and Five-Dimensional Relativity Theory (Oskar Klein)The Atomicity of Electricity as a Quantum Theory Law (Oskar Klein)On the Field Theory of Charged Particles (Oskar Klein)From My Life of Physics (Oskar Klein)Scientific Bibliography of Oskar KleinPart II:Theory of Neutrinos from the Sun (Hans A Bethe)Supernova Theory (Hans A Bethe)The Big Bang and Cosmic Inflation (Alan H Guth)Do the Laws of Physics Allow Us to Create a New Universe? (Alan H Guth)The Klein–Nishina Formula (Gösta Ekspong)On the Scattering of Radiation by Free Electrons According to Dirac's New Relativistic Quantum Dynamics (O Klein and Y Nishina)The Reflection of Electrons at a Potential Jump According to Dirac's Relativistic Dynamics (O Klein)Excerpts from Some Autobiographical Notes (O Klein)Part III:The Weak Interaction: Its History and Impact on Physics (T D Lee)Electron Orbits and Superconductivity of Carbon 60 (T D Lee)The Power of Duality — Exact Results in 4D SUSY Field Theory (N Seiberg)String Theory as a Universal Language (A M Polyakov)The Cosmological Tests (P J E Peebles)Anti-de Sitter Space, Thermal Phase Transition, and Confinement in Gauge Theories (Edward Witten)Can There Be Physics Without Experiments? Challenges and Pitfalls (Gerard 't Hooft) Readership: Students and researchers interested in theoretical and astrophysics. Keywords:Physics;Oskar Klein
Author: Gosta Ekspong
Publisher: World Scientific
ISBN: 9814506796
Category : Science
Languages : en
Pages : 142
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Book Description
With Translated Reprints by O KleinThe Oskar Klein Memorial Lectures, instituted in 1988 and supported by the Royal Swedish Academy of Sciences through its Nobel Committee for Physics, are given at Stockholm University in Sweden, where Oskar Klein was professor in Theoretical Physics 1930-1962.Volume 1 contains the 1988 lectures on “Symmetry and Physics” and “From the Bethe-Hulthén Hypothesis to the Yang-Baxter Equation,” given by C N Yang, Nobel Prize winner (1957) and professor at the State University of New York at Stony Brook. The 1989 lectures on “Beyond the Standard Models,” referring to models for cosmology and elementary particles, and on “Precision Tests of Quantum Mechanics” were given by Steven Weinberg, Nobel Prize winner (1979) and professor at the University of Texas at Austin. The volume also contains translations of some of Klein's original papers, one on intermediate charged fields (original in French, 1938), another on five-dimensional quantum theory (”Kaluza-Klein theory,” original in German, 1926). A scientific biography of Klein, written by Professors I. Fischer- Hjalmars and B Laurent, who both knew Klein well, is included as well as an autobiography by Klein.
Author: Gsta Ekspong
Publisher: World Scientific
ISBN: 9789810203535
Category : Science
Languages : en
Pages : 146
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Book Description
With Translated Reprints by O KleinThe Oskar Klein Memorial Lectures, instituted in 1988 and supported by the Royal Swedish Academy of Sciences through its Nobel Committee for Physics, are given at Stockholm University in Sweden, where Oskar Klein was professor in Theoretical Physics 1930-1962.Volume 1 contains the 1988 lectures on ?Symmetry and Physics? and ?From the Bethe-Hulthn Hypothesis to the Yang-Baxter Equation,? given by C N Yang, Nobel Prize winner (1957) and professor at the State University of New York at Stony Brook. The 1989 lectures on ?Beyond the Standard Models,? referring to models for cosmology and elementary particles, and on ?Precision Tests of Quantum Mechanics? were given by Steven Weinberg, Nobel Prize winner (1979) and professor at the University of Texas at Austin. The volume also contains translations of some of Klein's original papers, one on intermediate charged fields (original in French, 1938), another on five-dimensional quantum theory (?Kaluza-Klein theory,? original in German, 1926). A scientific biography of Klein, written by Professors I. Fischer- Hjalmars and B Laurent, who both knew Klein well, is included as well as an autobiography by Klein.
Author: Robin Wilson
Publisher: Springer Science & Business Media
ISBN: 1461301955
Category : Mathematics
Languages : en
Pages : 486
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Book Description
Approximately fifty articles that were published in The Mathematical Intelligencer during its first eighteen years. The selection demonstrates the wide variety of attractive articles that have appeared over the years, ranging from general interest articles of a historical nature to lucid expositions of important current discoveries. Each article is introduced by the editors. "...The Mathematical Intelligencer publishes stylish, well-illustrated articles, rich in ideas and usually short on proofs. ...Many, but not all articles fall within the reach of the advanced undergraduate mathematics major. ... This book makes a nice addition to any undergraduate mathematics collection that does not already sport back issues of The Mathematical Intelligencer." D.V. Feldman, University of New Hamphire, CHOICE Reviews, June 2001.
Author: A Varchenko
Publisher: World Scientific
ISBN: 981450162X
Category : Mathematics
Languages : en
Pages : 384
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Book Description
This book recounts the connections between multidimensional hypergeometric functions and representation theory. In 1984, physicists Knizhnik and Zamolodchikov discovered a fundamental differential equation describing correlation functions in conformal field theory. The equation is defined in terms of a Lie algebra. Kohno and Drinfeld found that the monodromy of the differential equation is described in terms of the quantum group associated with the Lie algebra. It turns out that this phenomenon is the tip of the iceberg. The Knizhnik–Zamolodchikov differential equation is solved in multidimensional hypergeometric functions, and the hypergeometric functions yield the connection between the representation theories of Lie algebras and quantum groups. The topics presented in this book are not adequately covered in periodicals. Contents:IntroductionConstruction of Complexes Calculating Homology of the Complement of a ConfigurationConstruction of Homology Complexes for Discriminantal ConfigurationAlgebraic Interpretation of Chain Complexes of a Discriminantal ConfigurationQuasiisomorphism of Two-Sided Hochschild Complexes to Suitable One-Sided Hochschild ComplexesBundle Properties of a Discriminantal ConfigurationR-Matrix for the Two-Sided Hochschild ComplexesMonodromyR-Matrix Operator as the Canonical Element, Quantum DoublesHypergeometric IntegralsKac–Moody Lie Algebras Without Serre's Relations and Their DoublesHypergeometric Integrals of a Discriminantal ConfigurationResonances at InfinityDegenerations of Discriminantal ConfigurationsRemarks on Homology Groups of a Configuration with Coefficients in Local Systems More General than Complex One-Dimensional Readership: Mathematicians, theoretical physicists, and graduate students. keywords:Hypergeometric Function;Hypergeometric Type Function;Hypergeometric Integral;Kac-Moody Algebra;Quantum Group;Representations of a Kac-Moody Algebra;Representations of a Quantum Group;Discriminant Configuration;Monodromy “The book is elegantly structured and sticks closely to the point, and is also fairly down to earth … as well as serving as an excellent specialist monograph, it should also be useful as a first exposure to these topics for anyone who likes to learn a subject through the study of a concrete problem.” Bull. London Math. Soc.
