Statistical Mechanics and Field Theory: Mathematical Aspects

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.