Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory by Roberto Fernandez (PDF)

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1. General introduction.- 2. Phase transitions and critical points in classical spin systems: A brief survey.- 3. Scale transformations and scaling (continuum) limits in lattice spin systems.- 4. Construction of scaling limits: the renormalization group.- 5. Random walks as Euclidean field theory (EFT).- 6. EFT as a gas of random walks with hard-core interactions.- 7 Random-surface models.- 8. Introduction.- 9 Random-walk models in the absence of magnetic field.- 10. Random-walk models in the presence of a magnetic field.- 11. Factorization and differentiation of the weights.- 12. Correlation inequalities: A survey of results.- 13. Background material.- 14. Inequalities for critical exponents.- 15. Continuum Limits.- References.

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