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Conformal Invariance and Critical Phenomena


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Table of Contents

1. Critical Phenomena: a Reminder.- 2. Conformal Invariance.- 3. Finite-Size Scaling.- 4. Representation Theory of the Virasoro Algebra.- 5. Correlators, Null Vectors and Operator Algebra.- 6. Ising Model Correlators.- 7. Coulomb Gas Realization.- 8. The Hamiltonian Limit and Universality.- 9. Numerical Techniques.- 10. Conformal Invariance in the Ising Quantum Chain.- 11. Modular Invariance.- 12. Further Developments and Applications.- 13. Conformal Perturbation Theory.- 14. The Vicinity of the Critical Point.- 15. Surface Critical Phenomena.- 16. Strongly Anisotropic Scaling.- Anhang/Annexe.- List of Tables.- List of Figures.- References.

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