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Conformal Field Theory and Integrable Models: Lectures Held at the Eotvos Graduate Course, Budapest, Hungary, 13-18 August 1996 [Kõva köide]

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  • Formaat: Hardback, 264 pages
  • Sari: Lecture Notes in Physics Vol 498
  • Ilmumisaeg: 18-Nov-1997
  • Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 3540636188
  • ISBN-13: 9783540636182
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  • Formaat: Hardback, 264 pages
  • Sari: Lecture Notes in Physics Vol 498
  • Ilmumisaeg: 18-Nov-1997
  • Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 3540636188
  • ISBN-13: 9783540636182
Teised raamatud teemal:
In the last few years we have witnessed an upsurge of interest in exactly solvable quantum field theoretical models in many branches of theoretical physics ranging from mathematical physics through high-energy physics to solid states. This book contains six pedagogically written articles meant as an introduction for graduate students to this fascinating area of mathematical physics. It leads them to the front line of present-day research. The topics include conformal field theory and W algebras, the special features of 2d scattering theory as embodied in the exact S matrices and the form factor studies built on them, the Yang--Baxter equations, and the various aspects of the Bethe Ansatz systems.
Lectures on Conformal Field Theory and Kac-Moody Algebras 1(54) Jurgen Fuchs 1 Conformal Field Theory 1(18) 2 Fusion Rules, Duality and Modular Transformations 19(12) 3 Kac-Moody Algebras 31(11) 4 WZW Theories and Coset Theories 42(8) 5 Addenda 50(5) W-Algebras and Their Representations 55(30) Gerard M.T. Watts 1 Introduction to W-Algebras 55(1) 2 Meromorphic Conformal Field Theory 55(2) 3 What is a W Algebra? 57(1) 4 Simple W-Algebras 58(3) 5 Direct Searches for W-Algebras 61(4) 6 The Coset Construction 65(3) 7 The Drinfeld-Sokolov Construction 68(5) 8 Representations of the W(3) Algebra and Correlation Functions 73(12) Exact S-Matrices 85(41) Patrick Dorey 1 Introduction -- Whats so Special About 1+1? 85(3) 2 Conserved Quantities and Factorisability 88(7) 3 The Two-Particle S-Matrix 95(5) 4 Pole Structure and Bound States 100(7) 5 Bootstrap Equations 107(3) 6 Zamolodchikovs E(8)-Related S-Matrix 110(4) 7 Coxeter Geometry 114(3) 8 Affine Toda Field Theory 117(9) Introduction to Simple Integrable Models of Quantum Field Theory 126(25) Harald Grosse Edwin Langmann Ernst Raschhofer 1 Introduction 126(3) 2 Quantum Spin Models 129(3) 3 Luttinger Liquid 132(4) 4 The Luttinger-Schwinger Model 136(6) 5 From Integrable Models to Quantum Spin Models 142(3) 6 Quantum Integrability-Yang-Baxter Relation 145(1) 7 Algebraic Relations 146(5) Introduction to Coordinate-Space Bethe Ansatz 151(53) Ferenc Woynarovich 1 Introduction 151(1) 2 Bethe Ansatz for the Heisenberg Chain 152(10) 3 Bethe Ansatz for the XXX-Gas of Spin 1/2 Fermions 162(22) 4 Treatment of the BA Equations of the Heisenberg Chain 184(20) Thermodynamical Bethe Ansatz and Condensed Matter 204 Minoru Takahashi 1 Introduction 204(1) 2 Repulsive Delta-Function Bosons 205(8) 3 Thermodynamics of the XXX Chain 213(15) 4 Thermodynamics of the XXZ Model 228(16) 5 Thermodynamics of the XYZ Model 244(4) 6 Numerical Calculation and Recent Developments 248