Applications of Field Theory to Statistical Mechanics

Inhaltsverzeichnis

• Prologue A functional perturbative approach to the classical statistical mechanics.
• The structure and statistical mechanics of glass.
• The statistical mechanics of surfaces.
• Surface effects in phase transitions.
• On the Ising spin glass I. Mean field.
• On the Ising spin glass II. Fluctuations.
• The wetting transition.
• Grassmann variables and supersymmetry in the theory of disordered systems.
• Rigorous studies of critical behavior.
• Anderson transition and nonlinear ?-model.
• Non-perturbative renormalisation in field theory.
• Stochastlc quantization: Regularization and renormalization.
• Self avoiding random walk and the renormalisation group.
• Field theory of the metal-insulator transitions in restricted symmetries.
• Surface tension and supercooling in solidification theory.
• Order and frustration on a random topography.
• On the equation ?? = ?2sinh ? and its applications.
• The uses of Zeta-function regularization in the dielectric gauge theory of quark confinement.
• One dimensional Heisenberg Ferromagnet equation and the Painleve test.
• Nonlinear crystal growth near the roughening-transition.
• The dynamics of bose-einstein condensation.
• Decay properties of correlations in massless models : The method of correlation inequalities.
• Nonasymptotic critical phenomena.
• Large n expansions for paramagnetic to helical phase transitions.
• The maximal chain model— a one dimensional system with a first-order phase transition.
• Directed lattice animals and the Yang-Lee-Edge singularity.
• Real space renormalization group treatment of superradiance.
• Kondo effect in a one dimensional interacting electron system.
• Time-dependent nucleation in systems with conserved order parameter.
• Mastersymmetries for completely integrable systems in statistical mechanics.
• Scalingapproach to self-avoiding random walks and surfaces.
• Long-time dynamics of coupled non-linear oscillators.
• Nonlinear quantum fluctuation-dissipation relations.
• Effects of surface exchange anisotropies on critical and multicritical behavior at surfaces.
• Dirichlet forms and schrodinger operators.