We give a framework to describe gauge theory in which a nonassociative Moufang loop takes the place of the structure group. The structure of such gauge theory has many formal similarities with that of Yang-Mills theory. We extend the gauge invariance to this theory and construct an on-shell version of N = 1 supersymmetric gauge theory.

The t-expansion is a nonperturbative calculational tool recently developed for Hamiltonian systems. A short review of the method is given. It is followed by a summary of applications to two dimensional spin systems and to four dimensional non-abelian lattice gauge theories. Invited talk presented at the ITP Workshop on Nuclear Chromodynamics Santa Barbara, California, August 12-23, 1985 * Work ...

We present some new three-loop results in lattice gauge theories, for the Free Energy and for the Topological Susceptibility. These results are an outcome of a scheme which we are developing (using a symbolic manipulation language), for the analytic computation of renormalization functions on the lattice.

We review the role of the generalized gaussian solution to the MigdalKadanoff renormalization group for SU(N) lattice gauge theories, and point out that it can be continued down to very low values of the inverse coupling 8. We thus explain the long distance stable line of actions observed in numerical investigations of SU(Z), and propose a simple SlJ(3) mixed action which should exhibit improve...

We study the Abelian and non-Abelian action density near the monopole in the maximal Abelian gauge of SU(2) lattice gauge theory. We find that the non-Abelian action density near the monopoles belonging to the percolating cluster decreases when we approach the monopole center. Our estimation for the monopole radius is R ≈ 0.06 fm.