Ising, heisenberg and hubbard models in relation to insulating and metallic ferro- and antiferro-magnets -- Studies of lattice spin systems using series expansions -- Application of linked-cluster expansions to quantum hamiltonian lattice systems -- Critical properties of 1-D spin 1/2 antiferromagnetic heisenberg model -- The Z(2) lattice gauge vacuum and the transverse ising model: Two sides of a coin -- Crystallographic point and space group symmetries in correlated many-body wave functions -- Hamiltonian lattice calculations on gauge and chiral meson field theories -- Stochastic projection of the ground state of strongly correlated electrons -- Dynamics of non-planar vortices in the classical 2D anisotropic heisenberg model at finite temperatures -- Chaotic dynamics in classical lattice field theories -- Effects of chaos in quantum lattice systems.

The accomplishments and the available expertise of scientists working on spin systems, lattice gauge models, and quantum liquids and solids has culminated in an extraordinary opportunity for rapid and efficient development of realistic strategies and algorithms of ab initio theoretical analysis of conventional and exotic condensed-matter systems. This volume presents the latest results in the interdisciplinary field of lattice many-body systems. These include magnetism and phase transitions and lattice gauge problems in quantum field theory. Also treated are strongly correlated systems that help to unify many-body problems in solid-state physics, crystallography, and materials sciences and that helped their quantitative understanding.