Potential theory on a rhombic lattice

Branches of Stable Three{tori Using Hamiltonian Methods in Hopf Bifurcation on a Rhombic Lattice

This paper uses Hamiltonian methods to nd and determine the stability of some new solution branches for an equivariant Hopf bifurcation on C 4. The normal form has a symmetry group given by the semi-direct product of D2 with T 2 S 1. The Hamiltonian part of the normal form is completely integrable and may be analyzed using a system of invariants. The idea of the paper is to perturb relative equ...

Electromagnetic Theory on a Lattice

In this paper, a self-contained electromagnetic theory is derived on a regular lattice. The discretized form of integral and diierential calculus, which is called`discrete calculus' here, is used to describe this theory. It is shown that discrete forms of Gauss' theorem, Stokes' theorem, Green's theorem, and Huygens' principle can be derived. Moreover, many electromagnetic theorems can also be ...

Gauge Theory on a Lattice

One approach to field theory, in particular to aspects that are not well treated in perturbation theory, is to approximate the field defined on a spacetime continuum with a lattice field theory, defined on a lattice of space-time points. There has been a great deal of cross-fertilization from considering renormalization from the continuum high-energy physics point of view and from the condensed...

Gauge Theory on a Lattice

One approach to field theory, in particular to aspects that are not well treated in perturbation theory, is to approximate the field defined on a spacetime continuum with a lattice field theory, defined on a lattice of space-time points. There has been a great deal of cross-fertilization from considering renormalization from the continuum high-energy physics point of view and from the condensed...

Notes on Lattice Theory