We describe a self-consistent canonical quantization of Liouville theory in terms of canonical free fields. In order to keep the non-linear Liouville dynamics, we use the solution of the Liouville equation as a canonical transformation. This also defines a Liouville vertex operator. We show, in particular, that a canonical quantized conformal and local quantum Liouville theory has a quantum gro...

In a previous paper) we discussed in the framework of the Poincare-Cartan integral invariant, a method for performing the canonical formalism for constrained systems. The basic idea consists of considering a canonical transformation which brings the constraints into a subset of the canonical variables. Thus the physical variables can be easily obtained by means of a reduction of the phase space...

It is well known that –differing from ordinary gauge systems– canonical gauges are not admissible in the path integral for parametrized systems. This is the case for the relativistic particle and gravitation. However, a time dependent canonical transformation can turn a parametrized system into an ordinary gauge system. It is shown how to build a canonical transformation such that the fixation ...

The concepts of canonical grasp and grasp transformation graph proposed in 10] are useful in grasp planning and dextrous manipulation. However, one critical element, namely the automatic generation of the canonical grasps, is required for the grasp transformation graph to be practical. In this paper, we present an algorithm to generate all canonical grasps in the planar case automatically. To t...

It is well known that –differing from ordinary gauge systems– canonical gauges are not admissible in the path integral for parametrized systems. This is the case for the relativistic particle and gravitation. However, a time dependent canonical transformation can turn a parametrized system into an ordinary gauge system. It is shown how to build a canonical transformation such that the fixation ...

We study a canonical quantization of the Wess{Zumino{Witten (WZW) model which depends on two integer parameters rather than one. The usual theory can be obtained as a contraction, in which our two parameters go to in nity keeping the di erence xed. The quantum theory is equivalent to a generalized Thirring model, with left and right handed fermions transforming under di erent representations of...