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WORLD SCIENTIFIC eBooks

Integrable quantum field theories and their applications : proceedings of the APCTP Winter School : Cheju Island, Korea, 28 February-4 March 2000

Changrim Ahn, Chaiho P. Rim, 隆 佐々木

Published Jan 1, 2001• 0 citations
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Abstract

Applications of Reflection Amplitudes in Toda-Type Theories (C Ahn et al.) Lax Pairs and Involutive Hamiltonians for CN and BCN Ruijsenaars-Schneider Models (K Chen et al.) Fateev's Models and Their Applications (D Controzzi & A M Tsvelik) The ODE/IM Correspondence (P Dorey et al.) 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 & R A J van Elburg) Towards Form Factors in Finite Volume (F A Smirnov) Static and Dynamic Properties of Trapped Bost-Einstein Condensates (T Tsurumi et al.) Integrability of the Calogero Model: Conserved Quantitles, the Classical General Solution and the Quantum Orthogonal Basis (H Ujino et al.) Conformal Boundary Conditions (J B Zuber).

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Integrable quantum field theories and their applications. Proceedings, APCTP Winter School, Cheju, Korea, February 28-March 4, 2000

Changrim Ahn, Chaiho P. Rim, Ryu Sasaki B

•Jan 31, 2003•0 citations

Topics in theoretical physics, 19-24 January, 1995, Sorak Mountain Resort, Korea : proceedings of the Second Pacific Winter School for Theoretical Physics

Y. M Cho

The quantum black hole, G. t' Hooft fractional exclusion statistics and generalized ideal gases, Y.-S. Wu integrability, fractional statistics and symmetries of lang-range interacting quantum systems, M. Wadati introduction to Yangian in physics, M.-L. Ge et al phase operator for the photon, an index theorem and quantum deformation, K. Fujikawa Calogero-Sutherland model and non-relativistic scatterings, S. Nam a note on generalized spin models, T. Deguchi phonons and spin excitations in the extended t-J model, B. Normand et al a functional approach to chaos in quantum field theory, B.H.J. McKeller et al a guided tour to applied symbolic dynamics, B.-L. Hao difference between scalar-tensor theories of gravitation, Y.Z. Zhang solitonic island in the bubble, Y. Kim et al gluonic degrees of freedom and jets, J.B. Choi phase transitions of hadronic matter, J.H. Kim et al. (Part contents).

WORLD SCIENTIFIC eBooks•Jan 1, 1997•0 citations

Integrable systems : from classical to quantum : proceedings of the 38th session of the séminaire de mathématiques supérieures, July 26 - August 6, 1999 Montréal, Québec, Canada

J. Harnad, Gert Sabidussi, Pavel Winternitz A

On the chiral WZNW phase space, exchange r-matrices and Poisson-Lie groupoids by J. Balog, L. Feher, and L. Palla Loop groups, $R$-matrices and separation of variables by J. Harnad The geometry of generalised Hitchin systems by J. C. Hurtubise Determinant representation for form factors by V. E. Korepin Isomonodromic deformations in genus zero and one: Algebro-geometric solutions and Schlesinger transformations by D. A. Korotkin Quantum inverse scattering problem and correlation functions of integrable models by J.-M. Maillet Multiseparability and superintegrability for classical and quantum systems by W. Miller, Jr. Integrability and symmetry of the XXZ model by T. Miwa Characteristic systems on Poisson Lie groups and their quantization by N. Reshetikhin Special functions associated with Calogero-Moser type quantum systems by S. N. M. Ruijsenaars Backlund transformations and Baster's $Q$-operator by E. K. Sklyanin Universality of the distribution functions of random matrix theory by C. A. Tracy and H. Widom.

American Mathematical Society eBooks•Jan 1, 2000•0 citations

MathPhys odyssey 2001 : integrable models and beyond : in honor of Barry M. McCoy

Masaki Kashiwara, 哲二 三輪, Barry M. McCoy

Preface * Wavevector-Dependent Susceptibilities in Aperiodic Planar Models * Correlation Functions and Susceptibility in the Z-Invariant Ising Model * A Rapidity-independent Parameter in the Star-Triangle Relation * Evaluation of Integrals Representing Correlations in XXX Heisenberg Spin Chain * A Note on Quotients of the Onsager Algebra * Evaluation Parameters and Bethe Roots for the Six Vertex Model at Roots of Unity * Normalization Factors, Reflection Amplitudes and Integrable Systems * Vertex Operator Algebra Arising from the Minimal Series M(3,p) and Monomial Basis * Paths Crystals and Fermionic Formulae * The Nonlinear Steepest Descent Approach to the Asymtpotis of the Second Painleve Transcendent in the Complex Domain * Generalized Umemura Polynomials and Hirota-Miwa Equation * Correlation Functions of Quantum Integrable Models: The XXZ Spin Chain * On Form Factors of SU(2) Invariant Thirring Model * Integrable Boundaries and Universal TBA Functional Equations * Conformal Field Theories, Graphs and Quantum Algebras * q-Supernomial Coefficients: From Rigging to Ribbons * Separation of Variables for Quantum Integrable Models Related to Uq(slN) * On a Distribution Function Arising in Computational Biology

Birkhäuser-Verlag eBooks•Jan 1, 2002•2 citations

Statistical models, Yang-Baxter equation and related topics : proceedings of the satellite meetings of STATPHYS-19, Tianjin, China, 8-10 August 1995 ; and Symmetry, statistical mechanical models and applciations : proceedings of the Seventh Nankai Workshop, Tianjin, China, 12-13 August 1995

Mo‐Lin Ge, Fa Yueh Wu

Part 1 Satellite meeting of Statphys-19: quantum domains in ferromagnetic anisotropic Heisenberg chains, F.C. Alcaraz et al algebraic solution of the coincidence problem for crystals and quasi crystals, 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 quantum group and the Hofstadter problem, Y. Hatsugai et al domain walls in the spin-S quantum Ising chain, M. Henkel mutual exclusion statistics in the exactly solvable model of the Mott metal-insulator transition, M. Kohmoto et al boundary Yang-Baxter in the RSOS/SOS representation, W.M. Koo and C. Ahn probability of phase separation and two point temperature correlation functions for the Bose gas with delta interaction, V.E. Korepin and A.R. Its the generalized chiral clock model and its phase diagram, H. Au-Yang and J.H.H. Perk stochastic reaction-diffusion processes, operator algebras and integrable quantum spin chains, G.M. Schutz 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 and Y Yu. Part 3 The seventh Nankai workshop: one dimensional lattice models of electrons with r2 hopping and exchange, Ch. Gruber and D.F. Wang symmetry group invariants for spontaneous magnetization, J.-M. Maillard Zamolodchikov-Faddeev algebra vertex models, H.-P. Eckle scaling properties of the Ising model in a field, U. Grimm and B. Nienhuis experimental realizations of integrable reaction-diffusion processes in biological and chemical systems, G.M. Schutz and other papers. (Part contents).

WORLD SCIENTIFIC eBooks•Jan 1, 1996•0 citations

Deformed Calogero-Sutherland model and fractional quantum Hall effect

Farrokh Atai, Edwin Langmann A

The deformed Calogero-Sutherland (CS) model is a quantum integrable system with arbitrary numbers of two types of particles and reducing to the standard CS model in special cases. We show that a known collective field description of the CS model, which is based on conformal field theory (CFT), is actually a collective field description of the deformed CS model. This provides a natural application of the deformed CS model in Wen’s effective field theory of the fractional quantum Hall effect (FQHE), with the two kinds of particles corresponding to electrons and quasi-hole excitations. In particular, we use known mathematical results about super-Jack polynomials to obtain simple explicit formulas for the orthonormal CFT basis proposed by van Elburg and Schoutens in the context of the FQHE.

arXiv:1603.06157•Journal of Mathematical Physics•Jan 1, 2017•14 citations
Applications of Reflection Amplitudes in Toda-Type Theories (C Ahn et al.) Lax Pairs and Involutive Hamiltonians for CN and BCN Ruijsenaars-Schneider Models (K Chen et al.) Fateev's Models and Their Applications (D Controzzi & A M Tsvelik) The ODE/IM Correspondence (P Dorey et al.) 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 & R A J van Elburg) Towards Form Factors in Finite Volume (F A Smirnov) Static and Dynamic Properties of Trapped Bost-Einstein Condensates (T Tsurumi et al.) Integrability of the Calogero Model: Conserved Quantitles, the Classical General Solution and the Quantum Orthogonal Basis (H Ujino et al.) Conformal Boundary Conditions (J B Zuber).
The quantum black hole, G. t' Hooft fractional exclusion statistics and generalized ideal gases, Y.-S. Wu integrability, fractional statistics and symmetries of lang-range interacting quantum systems, M. Wadati introduction to Yangian in physics, M.-L. Ge et al phase operator for the photon, an index theorem and quantum deformation, K. Fujikawa Calogero-Sutherland model and non-relativistic scatterings, S. Nam a note on generalized spin models, T. Deguchi phonons and spin excitations in the extended t-J model, B. Normand et al a functional approach to chaos in quantum field theory, B.H.J. McKeller et al a guided tour to applied symbolic dynamics, B.-L. Hao difference between scalar-tensor theories of gravitation, Y.Z. Zhang solitonic island in the bubble, Y. Kim et al gluonic degrees of freedom and jets, J.B. Choi phase transitions of hadronic matter, J.H. Kim et al. (Part contents).
On the chiral WZNW phase space, exchange r-matrices and Poisson-Lie groupoids by J. Balog, L. Feher, and L. Palla Loop groups, RRR-matrices and separation of variables by J. Harnad The geometry of generalised Hitchin systems by J. C. Hurtubise Determinant representation for form factors by V. E. Korepin Isomonodromic deformations in genus zero and one: Algebro-geometric solutions and Schlesinger transformations by D. A. Korotkin Quantum inverse scattering problem and correlation functions of integrable models by J.-M. Maillet Multiseparability and superintegrability for classical and quantum systems by W. Miller, Jr. Integrability and symmetry of the XXZ model by T. Miwa Characteristic systems on Poisson Lie groups and their quantization by N. Reshetikhin Special functions associated with Calogero-Moser type quantum systems by S. N. M. Ruijsenaars Backlund transformations and Baster's QQQ-operator by E. K. Sklyanin Universality of the distribution functions of random matrix theory by C. A. Tracy and H. Widom.
Preface * Wavevector-Dependent Susceptibilities in Aperiodic Planar Models * Correlation Functions and Susceptibility in the Z-Invariant Ising Model * A Rapidity-independent Parameter in the Star-Triangle Relation * Evaluation of Integrals Representing Correlations in XXX Heisenberg Spin Chain * A Note on Quotients of the Onsager Algebra * Evaluation Parameters and Bethe Roots for the Six Vertex Model at Roots of Unity * Normalization Factors, Reflection Amplitudes and Integrable Systems * Vertex Operator Algebra Arising from the Minimal Series M(3,p) and Monomial Basis * Paths Crystals and Fermionic Formulae * The Nonlinear Steepest Descent Approach to the Asymtpotis of the Second Painleve Transcendent in the Complex Domain * Generalized Umemura Polynomials and Hirota-Miwa Equation * Correlation Functions of Quantum Integrable Models: The XXZ Spin Chain * On Form Factors of SU(2) Invariant Thirring Model * Integrable Boundaries and Universal TBA Functional Equations * Conformal Field Theories, Graphs and Quantum Algebras * q-Supernomial Coefficients: From Rigging to Ribbons * Separation of Variables for Quantum Integrable Models Related to Uq(slN) * On a Distribution Function Arising in Computational Biology
Part 1 Satellite meeting of Statphys-19: quantum domains in ferromagnetic anisotropic Heisenberg chains, F.C. Alcaraz et al algebraic solution of the coincidence problem for crystals and quasi crystals, 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 quantum group and the Hofstadter problem, Y. Hatsugai et al domain walls in the spin-S quantum Ising chain, M. Henkel mutual exclusion statistics in the exactly solvable model of the Mott metal-insulator transition, M. Kohmoto et al boundary Yang-Baxter in the RSOS/SOS representation, W.M. Koo and C. Ahn probability of phase separation and two point temperature correlation functions for the Bose gas with delta interaction, V.E. Korepin and A.R. Its the generalized chiral clock model and its phase diagram, H. Au-Yang and J.H.H. Perk stochastic reaction-diffusion processes, operator algebras and integrable quantum spin chains, G.M. Schutz 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 and Y Yu. Part 3 The seventh Nankai workshop: one dimensional lattice models of electrons with r2 hopping and exchange, Ch. Gruber and D.F. Wang symmetry group invariants for spontaneous magnetization, J.-M. Maillard Zamolodchikov-Faddeev algebra vertex models, H.-P. Eckle scaling properties of the Ising model in a field, U. Grimm and B. Nienhuis experimental realizations of integrable reaction-diffusion processes in biological and chemical systems, G.M. Schutz and other papers. (Part contents).
The deformed Calogero-Sutherland (CS) model is a quantum integrable system with arbitrary numbers of two types of particles and reducing to the standard CS model in special cases. We show that a known collective field description of the CS model, which is based on conformal field theory (CFT), is actually a collective field description of the deformed CS model. This provides a natural application of the deformed CS model in Wen’s effective field theory of the fractional quantum Hall effect (FQHE), with the two kinds of particles corresponding to electrons and quasi-hole excitations. In particular, we use known mathematical results about super-Jack polynomials to obtain simple explicit formulas for the orthonormal CFT basis proposed by van Elburg and Schoutens in the context of the FQHE.