Statistical Models, Yang-Baxter Equation and Related Topics and Symmetry, Statistical Mechanical Models and Applications : Pr

by Ge, M. L.; Wu, F. Y.; Ge, M.L.

• ISBN13: 9789810227562
• ISBN10: 9810227566
• Format: Hardcover
• Copyright: 1996-12-01
• Publisher: World Scientific Pub Co

Table of Contents

Preface
Boundary Yang-Baxter in the RSOS/SOS Representation	p. 3
Quantum Domains in Ferromagnetic Anisotropic Heisenberg Chains	p. 13
The Generalized Chiral Clock Model and its Phase Diagram	p. 20
Algebraic Solution of the Coincidence Problem for Crystals and Quasicrystals	p. 31
Reflection Equations and Surface Critical Phenomena	p. 41
Fully Packed Loop Models	p. 49
Quantum Field Theories in terms of Group-Valued Local Fields: An Overview	p. 57
C-Statistical Transition Transforms of the Heisenberg Spin Chain and Braided Symmetry	p. 62
U(I)-Invariant Local and Integrable Lattice Formulation of the Massive Thirring Model	p. 68
Corner Transfer Matrices and Novel Polynomials	p. 77
Rigorous and Numerical Results on Two-Dimensional Oriented Self-Avoiding Walks	p. 85
The Price for Quantum Group Symmetry : Chiral Versus 2D WZNW Model	p. 92
Integrable Z[subscript n]-Chiral Potts Model: The Missing Rapidity-Momentum Relation	p. 102
Dilute Algebras and Solvable Lattice Models	p. 110
Falicov-Kimball Model: Ground States and Flux Phase Problem	p. 118
Mutual Exclusion Statistics in the Exactly Solvable Model of the Mott Metal-Insulator Transition	p. 126
Quantum Group and the Hofstadter Problem	p. 134
Domain Walls in the Spin-S Quantum Ising Chain	p. 142
Quantization of Nonultralocal Models - Generalization of the Theorem for the Multiple Coproduct	p. 150
Multipoint Functions(Form-factors) of Quantum sine-Gordon Field with Boundary	p. 157
Three-Dimensional Vertex Model	p. 166
Probability of Phase Separation and Two Point Temperature Correlation Functions for the Bose Gas with Delta Interaction	p. 174
On the Fundamental Invariant of the Hecke Algebra H[subscript n](q)	p. 182
Ternary Z[subscript 3]-Graded Algebras and New Gauge Theories	p. 190
Thermodynamics of Integrable Quantum Chains : Free Energy and Correlation Lengths	p. 203
Quantum Integrable Systems and Classical Discrete Nonlinear Dynamics	p. 211
Quantum Jacobi-Trudi Formula and Analytic Bethe Ansatz	p. 228
On Boundary Condition of Single Particle and the Spectrum of Many Particles	p. 236
Hyperbolic Coxeter Group Invariants for Lattice Statistical Mechanics	p. 242
Unitary Quantum Groups and Mutant Knots	p. 254
Gauge Model of QED and Unification of Statistical and Quantum Physics	p. 262
The Method of Gauge Transformation in Random Spin Systems	p. 277
Surface Free Energies and Surface Critical Behaviour of the ABF Models with Fixed Boundaries	p. 285
Stochastic Reaction-Diffusion Processes, Operator Algebras and Integrable Quantum Spin Chains	p. 296
Vertex-Face Correspondence in Elliptic Solutions of the Yang-Baxter Equation	p. 304
Logarithmic Anomalies of Susceptibility for Solvable Models	p. 312
Numerical Analysis on Topological Entanglements of Random Polygons	p. 320
On Chiral Hubbard Model at Strong Interaction	p. 330
Soluble Free-Fermion Models in d Dimensions	p. 334
Bosonization Based on Bethe Ansatz Equations and Proof of the Conformal Conjecture	p. 340
Fusion Hierarchies with Open Boundaries and Exactly Solvable Models	p. 351
Non-Minimal q-Deformations and Orthogonal Symmetries: U[subscript q](SO(5)) Example	p. 361
Quantum Field Theory Under Hypertranscendental Action	p. 370
Corner Transfer Matrix of Asymmetric Vertex Models	p. 378
Scaling Properties of the Ising Model in a Field	p. 384
One Dimensional Lattice Models of Electrons with r[superscript -2] Hopping and Exchange	p. 394
On the Phase Diagram of the q [actual symbol not reproducible] 1 Extended Potts Model and Lattice Animal Collapse	p. 402
Solving Higher Simplex Equations Using Computer Algebra	p. 410
Symmetry Group Invariants for Spontaneous Magnetization	p. 416
Experimental Realizations of Integrable Reaction-Diffusion Processes in Biological and Chemical Systems	p. 428
Zamolodchikov-Faddeev Algebra in 2-Component Anyons	p. 436
Author Index	p. 443
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