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Author Ahn, Changrim
Title Integrable Quantum Field Theories and Their Applications : Proceedings of the APCTP Winter School
Imprint Singapore : World Scientific Publishing Co Pte Ltd, 2001
©2001
book jacket
Descript 1 online resource (354 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
Note Intro -- Contents -- Preface -- Applications of Reflection Amplitudes in Toda-Type Theories -- 1 Introduction -- 2 Normalization Factors and Reflection Amplitudes -- 3 Reflections of Zero-Modes -- 4 Quantization Conditions and Scaling Functions -- 5 Comparison with the TBA results -- 6 Vacuum expectation value of exponential operator -- Acknowledgement -- References -- Lax Pairs and Involutive Hamiltonians for CN and BCN Ruijsenaars-Schneider Models -- 1 Introduction -- 2 AN-1-type Ruijsenaars-Schneider model -- 3 Hamiltonian reduction of Cn and BCn RS models from AN-1-type ones -- 4 Lax representations and involutive Hamiltonians for Cn and BCn RS models -- 5 Degenerate cases -- 6 Nonrelativistic limit to the Calogero-Moser system -- 7 Summary and discussions -- Acknowledgement -- References -- Fateev's Models and Their Applications -- 1 Fateev's models -- 2 Thermodynamic Bethe Ansatz -- 3 Applications -- 4 Discussion -- References -- The ODE/IM Correspondence -- Introduction -- 1 Schrodinger equations -- 2 Functional relations in integrable models -- 3 The TQ/ODE connection -- 4 Generalisations -- 5 Duality and reduction -- 6 Conclusions -- Acknowledgements -- References -- Integrable Sigma Models -- 1 Introduction -- 2 The models -- 3 Theta terms and WZW terms -- 4 The particle content -- 5 The S matrices -- 6 Matching perturbative expansions -- 7 The free energy at finite temperature -- 8 Conclusion -- References -- Lorentz Lattice Gases and Spin Chains -- 1 Introduction -- 2 Integrable loop models and spin chains -- 3 Thermodynamic limit and finite-size behaviour -- 4 Concluding Remarks -- Acknowledgements -- References -- Quantum Calogero-Moser Models for Any Root System -- 1 Introduction -- 2 Quantum Calogero-Moser Models -- 3 Coxeter invariant excited states triangularity and spectrum -- 4 Quantum Lax pair and quantum conserved quantities
5 Algebraic construction of excited states I -- 6 l operators -- 7 Algebraic construction of excited states II -- 8 Universal proof of involution of quantum conserved quantities for type I II and III models -- 9 Summary comments and outlook -- Acknowledgements -- References -- Quasi-Particles in Conformal Field Theories for Fractional Quantum Hall Systems -- 1 Summary of the lectures -- References -- Towards Form Factors in Finite Volume -- 1 Introduction. -- 2 The formulation of the problem. -- 3 The classical periodical problem for KdV. -- 4 Hamiltonian structure of finite-zone solutions. -- 5 Separation of variables. Baxter equation. -- 6 Quasi-classical wave functions and matrix elements. -- 7 Large L limit -- References -- Static and Dynamic Properties of Trapped Bose-Einstein Condensates -- 1 Introduction -- 2 Static Properties of Bose-Einstein Condensates -- 3 Collective Excitations and Stability of Two-Component Bose-Einstein Condensates -- 4 Dynamic Properties of Bose-Einstein Condensates -- Acknowledgment -- References -- Integrability of the Calogero Model: Conserved Quantities the Classical General Solution and the Quantum Orthogonal Basis -- 1 Introduction -- 2 Projection Method -- 3 Quantum Calogero Model -- 4 Quantum Calogero Model with Distinguishable Particles -- 5 Symmetrization of Non-symmetric Theory -- 6 Summary -- Acknowledgements -- References -- Conformal Boundary Conditions -- 0. Introduction -- 1. A lightning review of CFT -- 2. Boundary Conformal Field Theory -- 3. Boundary Operator Algebra -- 4. Integrable lattice models -- Acknowledgements -- References
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:. 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 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 Bose-Einstein 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
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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries
Link Print version: Ahn, Changrim Integrable Quantum Field Theories and Their Applications : Proceedings of the APCTP Winter School Singapore : World Scientific Publishing Co Pte Ltd,c2001 9789810247379
Subject Quantum field theory -- Congresses.;Integral equations -- Numerical solutions -- Congresses.;Mathematical physics -- Congresses
Electronic books
Alt Author Rim, Chaiho
Sasaki, Ryu
Changrim Ahn,
Chaiho Rim,
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