Quantum Statistical Physics and Field Theory

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4-state Potts model;re

  • Statistical Mechanics
    • Statistical Mechanics
    • Basic postulates
    • Ensembles
    • Density matrix
    • Indistinguishable particles
    • Bose-Einstein and Fermi-Dirac statistics
    • Chandrashekar limit
    • Anyons
  • Phase transitions
    • Symmetry and order parameters
    • Critical exponents and scaling laws
    • Lattice models and continuum limit
  • Bi-dimensional lattice models
    • Duality of the Ising model
    • Combinatorial solutions
    • Transfer matrix and Yang-Baxter equations
    • Bethe Ansatz
    • Potts model, random walks and self-avoiding walks
  • Field Theory Approach to Critical Phenomena
    • Feynman rules
    • Wick theorem
    • S-matrix
    • Unitarity and crossing equations
    • N-particle phase space, asymptotic and threshold behavior
    • Euclidean Quantum Field Theories
    • Path integral
  • Renormalization Group
    • Effective Hamiltonians
    • Running coupling constants and beta functions
    • Fixed points and scaling region
    • Relevant, irrelevant and marginal operators
  • Fermionic formulation of the 2-dimensional Ising model
    • Order and disorder operators
    • Operator product expansion and fermionic fields
    • Dirac equation
  • Conformal Field Theory
    • Conformal Invariance
    • Ward identity and primary fields
    • Virasoro algebra and central charge
    • Representation theory
    • Casimir effect and other finite size phenomena
    • Bosonic and fermionic fields
  • Minimal models
    • Differential equations of the correlation functions
    • Gas di Coulomb
    • Modular invariance
    • Statistical Models with Supersymmetry
    • Parafermionic and Wess-Zumino-Witten models

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