Statistical Mechanics and Field Theory: Mathematical Aspects

Inhaltsverzeichnis

• A model for crystallization: A variation on the Hubbard model.
• First order phase transitions and perturbation theory.
• Low temperature continuous spin Gibbs States on a lattice and the interfaces between them — a Pirogov Sinai type approach.
• Spin glasses, effective decrease of long-range interactions.
• Analyticity in some models of quantum statistical mechanics.
• K-theory of C*—Algebras in solid state physics.
• Quantum field theory without cutoffs- renormalizable and nonrenormalizable.
• Renormalization group methods in rigorous quantum field theory.
• Renormalisation group methods for circle mappings.
• Correlations and fluctuations in charged fluids.
• Models of statistical mechanics in one dimension originating from quantum ground states.
• Why do bosons condense?.
• Black holes and quantum mechanics.
• Quantum field theory and gravitation.
• A remark on antiparticles.
• Notes on the canonical anticommutation relations.
• A differential - geometric setting for BRS transformations and anomalies.
• Renormalization of a hierarchical fermion model in two dimensions.
• Gribov copies and absence of spontaneous symmetry breaking in compact U(1) lattice higgs models.
• Renormalization group approach for the Ising model as an approximate solution of the diaphantian system of equations.
• Transformation of the transfer matrix for the Ising model under decimation.
• Some results concerning the localization problem in one-dimensional quasiperiodic systems.
• Random walks on random lattices.
• The role of transverse fluctuations in multidimensional tunneling.
• Self-similar temporal behavior of random walks in random media.
• Loop expansions in the presence of Gribov copies.
• Non-existence of long-range-order for a certain 1D model and the soliton picture.
• Quantum fields out of thermalequilibrium.
• Statistical mechanical approach to the construction of four dimensional boson field theories.
• Correlation lengths at zero temperature in one dimension.
• Horizontal Wilson loops in finite temperature lattice gauge theories.
• The random bond Potts and Ashkin-Teller models.
• Spectral line shapes in quantum Markov scattering.
• Exact bogoliubov limits for the Bassichis-Foldy model and continued fractions.