Structural Elements in Particle Physics and Statistical Mechanics

Connectivity: a primer in phase transitions and critical phenomena for students of particle physics.- Algebraic aspects of exact models.- Elementary methods for statistical systems, mean field, large n, and duality.- Quantum scattering transformation.- Phases in gauge theories.- Unification of gauge and gravity interactions from compositeness.- Strong CP violation and axions.- Non-linear mechanics of a string in a viscous noisy environment.- Some new integrable models in field theory and statistical mechanics.- Calculating the large N phase transition in lattice gauge theories.- Excitation spectrum of ferromagnetic xxz-chains.- Computer simulations of a discontinuous phase transition and percolation clusters in the two-dimensional one-spin-flip Ising model.- Polyacetylene: a real material linking condensed matter and field theory.- The hidden fermions in Z(2) theories.- Remarks on alternative lattice actions and phase structure of lattice models.- Finite-size scaling theory.- Anderson transition and nonlinear ?-models.- Functional integration for kinks and disorder variables.- Continuum (scaling) limits of lattice field theories (triviality of ??4 in d(=)> 4 dimensions).- Schrödinger representation in renormalizable quantum field theory.- All self-dual multimonopoles for arbitrary gauge groups.- Renormalization group aspects of 3-dimensional pure U(1) lattice gauge theory.- Mass splitting of the pseudoscalar mesons by Monte Carlo technique.- Radiative symmetry breaking in grand unified theories.- Ground state metamorphosis for Yang-Mills fields on a finite periodic lattice.- Lattice Fermions and Monte Carlo Simulations.