Lattice Statistics And Mathematical Physics: Festschrift Dedicated To Professor Fa-yueh Wu On The Occasion Of His 70th Birthday, Proceedings Of Apctp-nankai Joint Symposium

Festschrift Dedicated to Professor Fa-Yueh Wu on the Occasion of His 70th Birthday

Mo-lin Ge, Jacques H H Perk, Fa Yueh Wu

• Publisher: World Scientific
• Year: 2002
• ISBN:
  9789812776358
• Topic: Physical Sciences
• Subtopic: Mathematical & Computational Physics

This book contains thirty-six short papers on recent progress in a variety of subjects in mathematical and theoretical physics, written for the proceedings of a symposium in honor of the seventieth birthday of Professor F Y Wu, held at the Nankai Institute of Mathematics, October 7-11, 2001. The collection of papers is aimed at researchers, including graduate students, with an interdisciplinary interest and gives a brief introduction to many of the topics of current interest. These include new results on exactly solvable models in statistical mechanics, integrable through the Yang-Baxter equations, quantum groups, fractional statistics, random matrices, index theorems on the lattice, combinatorics, and other related topics.

Table of contents

• CONTENTS
• Preface
• FA YUEH WU (Introduction)
• Star-Triangle Equations and Identities in Hypergeometric Series
• Happer's Curious Degeneracies and Yangian
• Fractional Statistics in Some Exactly Solvable Models With PT Invariant Interactions
• The Rotor Model and Combinatorics
• Phase Transitions in the Two-Dimensional 0(3) Model
• The 8V CSOS Model and the sl2 Loop Algebra Symmetry of the Six-Vertex Model at Roots of Unity
• The Chern-Simons Invariant in the Berry Phase of A Two by Two Hamiltonian
• Mutually Local Fields from Form Factors
• Deformation Quantization: Is C1 Necessarily Skew?
• Generalized Ginsparg-Wilson Algebra and Index Theorem on the Lattice
• Spectral Flow of Hermitian Wilson-Dirac Operator and the Index Theorem in Abelian Gauge Theories on Finite Lattices
• Dimers and Spanning Trees: Some Recent Results
• Hyperbolic Structure Arising from a Knot Invariant II: Completeness
• Exotic Galilean Symmetry and the Hall Effect
• The Three-State Chiral Clock Model
• Stochastic Description of Agglomeration and Growth Processes in Glasses
• Fusion Construction of the Vertex Operators in Higher Level Representation of the Elliptic Quantum Group
• Quantum Dynamics and Random Matrix Theory
• Integrable Coupling in a Model for Josephson Tunneling Between Non-Identical BCS Systems
• Finite Density Algorithm in Lattice QCD - A Canonical Ensemble Approach
• Short-Time Behaviors of Long-Ranged Interactions
• Generalized Supersymmetries and Composite Structure in M-Theory
• Gaussian Orthogonal Ensemble for the Level Spacing Statistics of the Quantum Four-State Chiral Potts Model
• Comments on the Deformed WN Algebra
• The Peierls Substitution and the Vanishing Magnetic Field Limit
• Applications of a Hard-Core Bose-Hubbard Model to Well-Deformed Nuclei
• Elliptic Algebra and Integrable Models for Solitons on Noncommutative Torus T
• New Results for Susceptibilities in Planar Ising Models
• Algebraic Geometry and Hofstadter Type Model
• Limitations on Quantum Control
• Rigorous Results on the Strongly Correlated Electron Systems by the Spin-Reflection-Positivity Method
• An Algebraic Approach to the Eigenstates of the Calogero Model
• Onsager's Algebra and Partially Orthogonal Polynomials
• Thermodynamics of Two Component Bosons in One Dimension
• R-Matrices and the Tensor Product Graph Method
• Free Field and Parafermionic Realizations of Twisted su(3)k(2) Current Algebra