Regular Transformation Groups Based on Fourier-Gauss Transforms

We discuss different representations of the White noise spaces $(E)_{\beta}$, $0 \leq \beta < 1$ by introducing generalized Wick tensors. As an application we state a generalization of the Mehler formula for the Ornstein-Uhlenbeck semigroup

Chiral gauge theories on the lattice without gauge fixing?

We discuss two proposals for a non-perturbative formulation of chiral gauge theories on the lattice. In both cases gauge symmetry is broken by the regularization. We aim at a dynamical restoration of symmetry. If the gauge symmetry breaking is not too severe this procedure could lead in the continuum limit to the desired chiral gauge theory.Comment: 3 pages, 1 figure, contribution to the 2nd IMACS conference on Computational Physics, UCSD/PTH 93-3

Regge's space-time skeletons and the quantization of 2d gravity

Regge's method for regularizing euclidean quantum gravity is applied to two dimensional gravity. Using topologies with genus zero and two and a scale invariant measure, we show that the Regge method fails to reproduce the values of the string susceptibilities of the continuum model.Comment: 3 pages, contribution to Lattice'94, 3 ps figs. (uuencoded