Integrable Quantum Field Theories and Their Application: Proceedings of the APCTP Winter School : Cheju Island, Korea, 28 February-4 March 2000Changrim Ahn, C. Rim, Ryu Sasaki, Ryū Sasaki 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: . OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). Contents: Applications of Reflection Amplitudes in Toda-Type Theories (C Ahn et al.); Lax Pairs and Involutive Hamiltonians for C N and BC N RuijsenaarsOCoSchneider 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 CalogeroOCoMoser 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 BoseOCoEinstein Condensates (T Tsurumi et al.); Integrability of the Calogero Model: Conserved Quantities, the Classical General Solution and the Quantum Orthogonal Basis (H Ujino et al.); Conformal Boundary Conditions (J B Zuber). Readership: Quantum field theorists, mathematical, theoretical, high energy and condensed matter physicists." |
Contents
Preface | 1 |
Lax Pairs and Involutive Hamiltonians for CN and | 35 |
Fateevs Models and Their Applications | 55 |
The ODEIM Correspondence | 74 |
Integrable Sigma Models | 108 |
Lorentz Lattice Gases and Spin Chains | 179 |
Quantum CalogeroMoser Models for Any Root System | 195 |
QuasiParticles in Conformal Field Theories for Fractional | 241 |
Static and Dynamic Properties of Trapped BoseEinstein | 269 |
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antisymmetric asymptotic ATFTs Bethe ansatz Bethe equations Boltzmann weights boundary conditions Calogero model Calogero-Moser models Ceff central charge chiral classical coefficients commutative conformal field theory conserved quantities corresponding cosh coupling Coxeter group Coxeter invariant defined denote diagonal dimension discussed eigenvalue explicit Fateev fermions finite fixed point follows formula free energy fusion given Gross-Neveu model Hamiltonian Hermite polynomials integrable models interaction kernels lattice Lax pair Lett Lie algebra limit low-energy massless Math matrix elements non-symmetric Nucl obtained operators orthogonal particles perturbative Phys physical poles polynomial potential prefactor problem quantization reflection amplitudes relation representation root system S-matrix satisfy scattering sigma model sinh solution spectrum sphere sigma model SU(N symmetry TBA equations tensor trigonometric values variables vector Wadati wave function wavefunction Weyl WZW term Yang-Baxter equation Zamolodchikov zero zero-mode ΡΕΔ