ar X iv : c on d - m at / 9 50 81 21 v 1 2 6 A ug 1 99 5 On Quantum Solitons in the Sawtooth Lattice

ar X iv : h ep - l at / 9 60 81 30 v 1 2 3 A ug 1 99 6 1 Pomerons and Lattices : a Progress Report

We report on some attempts to use lattice QCD to investigate topics in strong interaction phenomenology which are usually interpreted in terms of soft Pomeron exchange.

ar X iv : h ep - l at / 9 60 81 32 v 1 2 3 A ug 1 99 6 Lattice Gauge Field Interpolation for Chiral Gauge Theories

The importance of lattice gauge field interpolation for our recent non-perturbative formulation of chiral gauge theory is emphasized. We illustrate how the requisite properties are satisfied by our recent four-dimensional non-abelian interpolation scheme, by going through the simpler case of U (1) gauge fields in two dimensions.

ar X iv : c on d - m at / 0 30 41 81 v 3 1 3 A ug 2 00 3 DCPT - 03 / 17 Hexagonal lattices and nanotubes

We consider a Fröhlich-type Hamiltonian on a hexagonal lattice. Aiming to describe nanotubes, we choose this 2-dimensional lattice to be periodic and to have a large extension in one (x) direction and a small extension in the other (y) direction. We study the existence of solitons in this model using both analytical and numerical methods. We find exact solutions of our equations and discuss som...

ar X iv : c on d - m at / 9 60 80 07 v 1 2 A ug 1 99 6 The Edge Currents and Edge Potentials in IQHE

It is shown that an observed length in the potential drops across IQHE samples is a universal length for a given value of magnetic field which results from the quantum mechanical uncertainty relation.

ar X iv : c on d - m at / 9 50 80 44 v 1 1 1 A ug 1 99 5 Magnetism of superconducting UPt 3